{"id":62961,"date":"2023-08-31T22:02:00","date_gmt":"2023-08-31T16:32:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=62961"},"modified":"2023-11-01T10:25:03","modified_gmt":"2023-11-01T04:55:03","slug":"rd-sharma-solutions-class-11-maths-chapter-16-permutations","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/","title":{"rendered":"RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; Permutations (Updated For 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-119465\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-11-Maths-Chapter-16.jpg\" alt=\"RD Sharma Solutions Class 11 Maths Chapter 16 \" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-11-Maths-Chapter-16.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-11-Maths-Chapter-16-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 11 Maths Chapter 16<\/strong> &#8211; To make your Class 11 Maths exam preparation easier, we have structured this blog for you where you will come across the essential aspects of RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; Permutations. Get the exam ready with us and buy a copy of <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-11-maths-rd-sharma-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 11 Maths<\/a> here.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69e170827517c\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69e170827517c\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#download-rd-sharma-solutions-class-11-maths-chapter-16-%e2%80%93-permutations-pdf\" title=\"Download RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; Permutations PDF\">Download RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; Permutations PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#exercise-wise-rd-sharma-solutions-class-11-maths-chapter-16-permutations\" title=\"Exercise-Wise RD Sharma Solutions Class 11 Maths Chapter 16 Permutations\">Exercise-Wise RD Sharma Solutions Class 11 Maths Chapter 16 Permutations<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#detailed-exercise-wise-explanation-with-listing-of-important-topics-in-the-exercise\" title=\"Detailed Exercise-wise Explanation with Listing of Important Topics in the Exercise\">Detailed Exercise-wise Explanation with Listing of Important Topics in the Exercise<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#rd-sharma-class-11-solutions-chapter-16-ex-16a\" title=\"RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16A\">RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16A<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#rd-sharma-class-11-solutions-chapter-16-ex-16b\" title=\"RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16B\">RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16B<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#rd-sharma-class-11-solutions-chapter-16-ex-16c\" title=\"RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16C\">RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16C<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#rd-sharma-class-11-solutions-chapter-16-ex-16d\" title=\"RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16D\">RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16D<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#rd-sharma-class-11-solutions-chapter-16-ex-16e\" title=\"RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16E\">RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16E<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#access-rd-sharma-solutions-class-11-maths-chapter-16\" title=\"Access RD Sharma Solutions Class 11 Maths Chapter 16\">Access RD Sharma Solutions Class 11 Maths Chapter 16<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#here-are-the-important-concepts-of-this-chapter-16\" title=\"Here are the Important concepts of this chapter 16\">Here are the Important concepts of this chapter 16<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#rd-sharma-solutions-class-11-maths-chapter-16-permutations\" title=\"RD Sharma Solutions Class 11 Maths Chapter 16 -Permutations\">RD Sharma Solutions Class 11 Maths Chapter 16 -Permutations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#access-other-important-chapters-of-rd-sharma-solutions-class-11-maths\" title=\"Access Other Important Chapters of RD Sharma Solutions Class 11 Maths\u00a0\">Access Other Important Chapters of RD Sharma Solutions Class 11 Maths\u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#faqs-on-rd-sharma-solutions-class-11-maths-chapter-16\" title=\"FAQs on RD Sharma Solutions Class 11 Maths Chapter 16\">FAQs on RD Sharma Solutions Class 11 Maths Chapter 16<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#can-i-access-the-rd-sharma-solutions-class-11-maths-chapter-16-pdf-offline\" title=\"Can I access the RD Sharma Solutions Class 11 Maths Chapter 16\u00a0PDF offline?\">Can I access the RD Sharma Solutions Class 11 Maths Chapter 16\u00a0PDF offline?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#is-it-even-beneficial-to-study-rd-sharma-solutions-class-11-maths-chapter-16\" title=\"Is it even beneficial to study RD Sharma Solutions Class 11 Maths Chapter 16?\">Is it even beneficial to study RD Sharma Solutions Class 11 Maths Chapter 16?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/#are-the-solutions-rd-sharma-solutions-class-11-maths-chapter-16-relevant\" title=\"Are the solutions RD Sharma Solutions Class 11 Maths Chapter 16\u00a0relevant?\">Are the solutions RD Sharma Solutions Class 11 Maths Chapter 16\u00a0relevant?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-11-maths-chapter-16-%e2%80%93-permutations-pdf\"><\/span>Download RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; Permutations PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-11-Maths-Chapter-16-1.pdf\">RD Sharma Solutions Class 11 Maths Chapter 16 <\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-11-Maths-Chapter-16-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"exercise-wise-rd-sharma-solutions-class-11-maths-chapter-16-permutations\"><\/span>Exercise-Wise RD Sharma Solutions Class 11 Maths Chapter 16 Permutations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-exercise-16-1\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 11 Chapter 16 Exercise 16A<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-exercise-16-2\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 11 Chapter 16 Exercise 16B<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-exercise-16-3\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 11 Chapter 16 Exercise 16C<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-exercise-16-4\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 11 Chapter 16 Exercise 16D<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-exercise-16-5\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 11 Chapter 16 Exercise 16E\u00a0<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"detailed-exercise-wise-explanation-with-listing-of-important-topics-in-the-exercise\"><\/span><span style=\"font-size: 30px; background-color: initial;\">Detailed Exercise-wise Explanation with Listing of Important Topics in the Exercise<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"rd-sharma-class-11-solutions-chapter-16-ex-16a\"><\/span>RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16A<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In the RD Sharma Solutions Class 11 Chapter 16A, the students will have to deal with the essential concepts of Permutation. The experts have given equal emphasis to meeting the requirements of the students.<\/p>\n<p>Besides these demands, you will also get to witness step-by-step analysis in connection with Factorials. Each and every part has been covered as per the latest syllabus. All the concepts have been structured in the form of explanations.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"rd-sharma-class-11-solutions-chapter-16-ex-16b\"><\/span>RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16B<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In the RD Sharma Solutions Class 11 Maths Chapter 16 Permutations\u00a0you will be exposed to all kinds of tricky problems from Permutation. Try to attempt all the questions from RD Sharma Class 11 Chapter 16B without seeing the answers from Chapter 16 solutions. Access your performance and make a note of it.<\/p>\n<p>After some time you check all the answers from RD Sharma Solutions Class 11 Maths Chapter 16 Permutations. If you make a habit you will get the maximum benefit in your final Maths exam. While focusing on the problems based on Permutation from RD Sharma Class 11 Solutions Chapter 16 Exercise 16B look for the ways the concepts have been presented.<\/p>\n<p>You will be in a commendable position if you look for the little things at the time of practicing questions from Class 11 RD Sharma Chapter 16B. The essential parts of this section are the principle of addition and the principle of multiplication.\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"rd-sharma-class-11-solutions-chapter-16-ex-16c\"><\/span>RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16C<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The RD Sharma Class 11 Chapter 16C consists of the elements which are related to fundamental aspects of Permutation. The students are expected to practice all the problems that are given in RD Sharma Solutions Class 11 Chapter 16 Exercise 16C on a regular basis.<\/p>\n<p>The experts have presented the answers to the complex problems in Class 11 Chapter 16C to make things easier for the students. Solving this is the key to success and to get good results you must make proper use of the key. \u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"rd-sharma-class-11-solutions-chapter-16-ex-16d\"><\/span>RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16D<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In RD Sharma Solutions Chapter 16 Ex 16D, students will get to know about the techniques that can be applied in the case of Permutation. Different problems have been dealt with by the experts with an extra bit of care and all you need to do is sit with the relevant parts like the repetition of items as well as the distinction of items after understanding the concepts. You can also include the parts in your study materials while examining the essential aspects of Permutation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"rd-sharma-class-11-solutions-chapter-16-ex-16e\"><\/span>RD Sharma\u00a0 Class 11 Solutions Chapter 16 Ex 16E<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In the RD Sharma Exercise 16E Solutions Class 11 Chapter 16 the students will be exposed to the relevant things like the same. The experts have concentrated on the important part to satisfy the needs of the students. All the parts from this area have been dealt with to guide the students. The concepts involved with this part will become crystal clear once you focus on it.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-rd-sharma-solutions-class-11-maths-chapter-16\"><\/span>Access RD Sharma Solutions Class 11 Maths Chapter 16<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>1. Compute:<\/strong><\/p>\n<p><strong>(i) 30!\/28!<\/strong><\/p>\n<p><strong>(ii) (11! \u2013 10!)\/9!<\/strong><\/p>\n<p><strong>(iii) L.C.M. (6!, 7!, 8!)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)\u00a0<\/strong>30!\/28!<\/p>\n<p>Let us evaluate<\/p>\n<p>30!\/28! = (30 \u00d7 29 \u00d7 28!)\/28!<\/p>\n<p>= 30 \u00d7 29<\/p>\n<p><em>= 870<\/em><\/p>\n<p><strong>(ii)\u00a0<\/strong>(11! \u2013 10!)\/9!<\/p>\n<p>Let us evaluate<\/p>\n<p>We know,<\/p>\n<p>11! = 11 \u00d7 10 \u00d7 9 \u00d7 \u2026. \u00d7 1<\/p>\n<p>10! = 10 \u00d7 9 \u00d7 8 \u00d7 \u2026 \u00d7 1<\/p>\n<p>9! = 9 \u00d7 8 \u00d7 7 \u00d7 \u2026 \u00d7 1<\/p>\n<p>By using these values, we get,<\/p>\n<p>(11! \u2013 10!)\/9! = (11 \u00d7 10 \u00d7 9! \u2013 10 \u00d7 9!)\/ 9!<\/p>\n<p>= 9! (110 \u2013 10)\/9!<\/p>\n<p>= 110 \u2013 10<\/p>\n<p><em>= 100<\/em><\/p>\n<p><strong>(iii)\u00a0<\/strong>L.C.M. (6!, 7!, 8!)<\/p>\n<p>Let us find the LCM of (6!, 7!, 8!)<\/p>\n<p>We know<\/p>\n<p>8! = 8 \u00d7 7 \u00d7 6!<\/p>\n<p>7! = 7 \u00d7 6!<\/p>\n<p>6! = 6!<\/p>\n<p>So,<\/p>\n<p>L.C.M. (6!, 7!, 8!) = LCM [8 \u00d7 7 \u00d7 6!, 7 \u00d7 6!, 6!]<\/p>\n<p>= 8 \u00d7 7 \u00d7 6!<\/p>\n<p><em>= 8!<\/em><\/p>\n<p><strong>2. Prove that: 1\/9! + 1\/10! + 1\/11! = 122\/11!<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Given:<\/p>\n<p>1\/9! + 1\/10! + 1\/11! = 122\/11!<\/p>\n<p>Let us consider LHS 1\/9! + 1\/10! + 1\/11!<\/p>\n<p>1\/9! + 1\/10! + 1\/11! = 1\/9! + 1\/(10\u00d79!) + 1\/(11\u00d710\u00d79!)<\/p>\n<p>= (110 + 11 + 1)\/(11 \u00d7 10 \u00d7 9!)<\/p>\n<p>= 122\/11!<\/p>\n<p><em>= RHS<\/em><\/p>\n<p>Hence proved.<\/p>\n<p><strong>3. Find x in each of the following:<\/strong><\/p>\n<p><strong>(i) 1\/4! + 1\/5! = x\/6!<\/strong><\/p>\n<p><strong>(ii) x\/10! = 1\/8! + 1\/9!<\/strong><\/p>\n<p><strong>(iii) 1\/6! + 1\/7! = x\/8!<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)\u00a0<\/strong>1\/4! + 1\/5! = x\/6!<\/p>\n<p>We know that<\/p>\n<p>5! = 5 \u00d7 4 \u00d7 3 \u00d7 2 \u00d7 1<\/p>\n<p>6! = 6 \u00d7 5 \u00d7 4 \u00d7 3 \u00d7 2 \u00d7 1<\/p>\n<p>So by using these values,<\/p>\n<p>1\/4! + 1\/5! = x\/6!<\/p>\n<p>1\/4! + 1\/(5\u00d74!) = x\/6!<\/p>\n<p>(5 + 1) \/ (5\u00d74!) = x\/6!<\/p>\n<p>6\/5! = x\/(6\u00d75!)<\/p>\n<p>x = (6 \u00d7 6 \u00d7 5!)\/5!<\/p>\n<p>= 36<\/p>\n<p><em>\u2234 The value of x is 36.<\/em><\/p>\n<p><strong>(ii)\u00a0<\/strong>x\/10! = 1\/8! + 1\/9!<\/p>\n<p>We know that<\/p>\n<p>10! = 10 \u00d7 9!<\/p>\n<p>9! = 9 \u00d7 8!<\/p>\n<p>So by using these values,<\/p>\n<p>x\/10! = 1\/8! + 1\/9!<\/p>\n<p>x\/10! = 1\/8! + 1\/(9\u00d78!)<\/p>\n<p>x\/10! = (9 + 1) \/ (9\u00d78!)<\/p>\n<p>x\/10! = 10\/9!<\/p>\n<p>x\/(10\u00d79!) = 10\/9!<\/p>\n<p>x = (10 \u00d7 10 \u00d7 9!)\/9!<\/p>\n<p>= 10 \u00d7 10<\/p>\n<p>= 100<\/p>\n<p><em>\u2234 The value of x is 100.<\/em><\/p>\n<p><strong>(iii)<\/strong>\u00a01\/6! + 1\/7! = x\/8!<\/p>\n<p>We know that<\/p>\n<p>8! = 8 \u00d7 7 \u00d7\u00a06!<\/p>\n<p>7! =\u00a07 \u00d7\u00a06!<\/p>\n<p>So by using these values,<\/p>\n<p>1\/6! + 1\/7! = x\/8!<\/p>\n<p>1\/6! + 1\/(7\u00d76!) = x\/8!<\/p>\n<p>(1 + 7)\/(7\u00d76!) = x\/8!<\/p>\n<p>8\/7! = x\/8!<\/p>\n<p>8\/7! = x\/(8\u00d77!)<\/p>\n<p>x = (8 \u00d7 8 \u00d7 7!)\/7!<\/p>\n<p>= 8 \u00d7 8<\/p>\n<p>= 64<\/p>\n<p><em>\u2234 The value of x is 64.<\/em><\/p>\n<h3><span class=\"ez-toc-section\" id=\"here-are-the-important-concepts-of-this-chapter-16\"><\/span>Here are the Important concepts of this chapter 16<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li style=\"font-weight: 400;\">The factorial.<\/li>\n<li style=\"font-weight: 400;\">Fundamental principles of counting.<\/li>\n<li style=\"font-weight: 400;\">Permutations.<\/li>\n<li style=\"font-weight: 400;\">Permutations under certain conditions.<\/li>\n<li style=\"font-weight: 400;\">Permutations of objects are not all distinct.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"rd-sharma-solutions-class-11-maths-chapter-16-permutations\"><\/span>RD Sharma Solutions Class 11 Maths Chapter 16 -Permutations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>RD Sharma&#8217;s solution can expose you to new ways of dealing with complex problems from Permutation. Getting PDF files of the RD Sharma Chapter 16 Solutions forms the backbone of the preparation.<\/p>\n<p>All the things will become interesting when you concentrate on the relevant parts. There are different kinds of benefits for referring to RD Sharma Chapter 16 Class 11\u00a0Solutions and now we will talk about those solutions. You must collect it after you finish your syllabus.\u00a0<\/p>\n<ul>\n<li>The students will be able to prepare themselves in a better way when they go through the contents of Maths Chapter 16.<\/li>\n<li>The students will be able to cross all the hurdles in relation to the problems that are involved with Permutations.<\/li>\n<li>All the parts in connection with the basics of Permutations have been explained with proper presentations and if you examine the contents carefully you will be left with zero queries.\u00a0<\/li>\n<li>You will get new ideas to improve your methods of preparation and that is the beauty of following <a href=\"http:\/\/cbse.nic.in\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a> Chapter 16 Permutations.<\/li>\n<li>Shaping study materials becomes easier for you when you are ready with solutions.\u00a0<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"access-other-important-chapters-of-rd-sharma-solutions-class-11-maths\"><\/span>Access Other Important Chapters of RD Sharma Solutions Class 11 Maths\u00a0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-1-sets\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 1 &#8211; Sets<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-2-relations\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 2 &#8211; Relations<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-3-functions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 3 &#8211; Functions<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-4-measurement-of-angles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 4 &#8211; Measurement of Angles<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-5-trigonometric-functions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 5 &#8211; Trigonometric Functions<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-6-graphs-of-trigonometric-functions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 6 &#8211; Graphs of Trigonometric Functions<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-7-trigonometric-ratios-of-compound-angles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 7 &#8211; Trigonometric Ratios of Compound Angles<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-8-transformation-formulae\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 8 &#8211; Transformation Formulae<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-9-trigonometric-ratios-of-multiple-and-sub-multiple-angles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 9 &#8211; Trigonometric Ratios of Multiple and Sub-Multiple Angles<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-10-sine-and-cosine-formulae-and-their-applications\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 10 &#8211; Sine and Cosine Formulae and Their Applications<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-11-trigonometric-equations\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 11 &#8211; Trigonometric Equations<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-12-mathematical-induction\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 12 &#8211; Mathematical Induction<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-13-complex-numbers\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 13 &#8211; Complex Numbers<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-14-quadratic-equations\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 14 &#8211; Quadratic Equations<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-15-linear-inequations\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 15 &#8211; Linear Inequations<\/a><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-11-maths-chapter-16\"><\/span>FAQs on RD Sharma Solutions Class 11 Maths Chapter 16<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1629822795346\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-solutions-class-11-maths-chapter-16-pdf-offline\"><\/span>Can I access the RD Sharma Solutions Class 11 Maths Chapter 16\u00a0PDF offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the PDF online, you can access it offline as well.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629822875422\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-even-beneficial-to-study-rd-sharma-solutions-class-11-maths-chapter-16\"><\/span>Is it even beneficial to study RD Sharma Solutions Class 11 Maths Chapter 16?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, your preparation will be strengthened with this amazing help book. All your questions will be answered by this book.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629822914206\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-the-solutions-rd-sharma-solutions-class-11-maths-chapter-16-relevant\"><\/span>Are the solutions RD Sharma Solutions Class 11 Maths Chapter 16\u00a0relevant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The solutions are relevant as they are designed by the subject matter experts. \u00a0<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; To make your Class 11 Maths exam preparation easier, we have structured this blog for you where you will come across the essential aspects of RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; Permutations. Get the exam ready with us and buy a copy of &#8230; <a title=\"RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; Permutations (Updated For 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-16-permutations\/\" aria-label=\"More on RD Sharma Solutions Class 11 Maths Chapter 16 &#8211; Permutations (Updated For 2024)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":119465,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985],"tags":[3428,73334],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/62961"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=62961"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/62961\/revisions"}],"predecessor-version":[{"id":500404,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/62961\/revisions\/500404"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/119465"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=62961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=62961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=62961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}