{"id":3182,"date":"2021-12-29T12:29:39","date_gmt":"2021-12-29T06:59:39","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=3182"},"modified":"2024-07-03T17:22:11","modified_gmt":"2024-07-03T11:52:11","slug":"ncert-solutions-for-class-11-maths-chapter-7-permutations-and-combinations-miscellaneous-exercise","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-miscellaneous-exercise\/","title":{"rendered":"NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous Exercise"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" 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: #999;color:#999\" 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\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-miscellaneous-exercise\/#NCERT_Solutions_for_Class_11_Maths_Chapter_7_Permutations_and_Combinations_Miscellaneous_exercise\" title=\"NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous exercise\">NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous exercise<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-miscellaneous-exercise\/#Class_11_Maths_Chapter_7_Permutations_and_Combinations_Miscellaneous_Exercise_FAQs\" title=\"Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous Exercise FAQs\">Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous Exercise FAQs<\/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:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-miscellaneous-exercise\/#How_to_master_Class_11_Maths_CBSE\" title=\"How to master Class 11 Maths CBSE?\">How to master Class 11 Maths CBSE?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-miscellaneous-exercise\/#How_many_exercises_are_in_Chapter_7_of_Class_11_Maths\" title=\"How many exercises are in Chapter 7 of Class 11 Maths?\">How many exercises are in Chapter 7 of Class 11 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-miscellaneous-exercise\/#Which_are_the_essential_topics_of_this_Chapter\" title=\"Which are the essential topics of this Chapter?\">Which are the essential topics of this Chapter?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>All Miscellaneous exercise questions are answered in <strong>NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous exercise<\/strong> Permutations and Combinations. The principal studied in Maths chapter 11 are the foundation for NCERT Solutions for Class 11 Miscellaneous exercise. This practice is crucial for both the CBSE Term II exam and competitive exams. To do well on your exam, download these <strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\" target=\"_blank\" rel=\"noopener\">NCERT Solutions<\/a><\/strong> and practice them offline.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_11_Maths_Chapter_7_Permutations_and_Combinations_Miscellaneous_exercise\"><\/span>NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous exercise<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Using the NCERT solutions for miscellaneous exercise Class 11 Maths is the best option for the CBSE students when they are preparing for their exams. This chapter includes many exercises. One of them is the Exercise Miscellaneous exercise whose solutions are available in pdf format on this page. You can also download these solutions online from our website or app.<\/p>\n<p>Infinity Learn subject matter experts have designed solutions from the exercise with the utmost care and by keeping in mind all the guidelines by CBSE. Class 11 Students which have prepared with all the exercises given in this chapter can easily score well in the exams. By using these solutions, students came to know about the pattern of questions that are asked in the exam from this chapter and also know about the marks weightage of the chapter. So they can prepare well.<\/p>\n<p>Along with this exercise, there are many number of exercises included in this chapter that contain innumerable questions as well. All these solutions are designed by subject matter experts as mentioned earlier. Hence all of these are considered as superior quality and students must refer to these solutions. To score well in the exam all these solutions must be practiced well and all other questions must be solved which are given next to it.Do not delay any more. Download the <strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/\" target=\"_blank\" rel=\"noopener\">NCERT solutions for Class 11 Maths<\/a><\/strong> Chapter 7 Miscellaneous exercise from Infinity Learn website now for better exam preparation. If you have the Infinity Learn app on your phone, you should download the same through the app as well. You can use these solutions online and offline as well.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Class_11_Maths_Chapter_7_Permutations_and_Combinations_Miscellaneous_Exercise_FAQs\"><\/span>Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous Exercise FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_to_master_Class_11_Maths_CBSE\"><\/span>How to master Class 11 Maths CBSE?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\t Practice makes a man perfect. This quote applies to students as well. To get a clear image of the topics covered in Class 11 Maths, students must go through all the topics they find in their NCERT Maths textbook. For this, try to solve all the questions given in their NCERT Class 11 Maths textbook. NCERT Solutions for Class 11 Maths for these exercises can be found easily on the Infinity Learn website and on the Infinity Learn Mobile app as well.  \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_many_exercises_are_in_Chapter_7_of_Class_11_Maths\"><\/span>How many exercises are in Chapter 7 of Class 11 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\t This chapter includes Permutation and Combination. This chapter deal with several problems related to solving factorials. It consists of a total of five exercises. These are Exercises 7.1, 7.2, 7.3, 7.4, and a miscellaneous exercise. These exercises include all topics of Permutation and Combination. Students must practice them all so they can score well in exams.  \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Which_are_the_essential_topics_of_this_Chapter\"><\/span>Which are the essential topics of this Chapter?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tMajor topics are:  Fundamental Principles of Counting Permutations\u202f  Permutations  Permutation when all objects are distinct  Factorial notation\u202f  Derivation of the formula for nPr  Permutations when all the items are not separate objects\u202f  Combinations  \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to master Class 11 Maths CBSE?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Practice makes a man perfect. This quote applies to students as well. To get a clear image of the topics covered in Class 11 Maths, students must go through all the topics they find in their NCERT Maths textbook. For this, try to solve all the questions given in their NCERT Class 11 Maths textbook. NCERT Solutions for Class 11 Maths for these exercises can be found easily on the Infinity Learn website and on the Infinity Learn Mobile app as well.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How many exercises are in Chapter 7 of Class 11 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"This chapter includes Permutation and Combination. This chapter deal with several problems related to solving factorials. It consists of a total of five exercises. These are Exercises 7.1, 7.2, 7.3, 7.4, and a miscellaneous exercise. These exercises include all topics of Permutation and Combination. Students must practice them all so they can score well in exams.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Which are the essential topics of this Chapter?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Major topics are:  Fundamental Principles of Counting Permutations\u202f  Permutations  Permutation when all objects are distinct  Factorial notation\u202f  Derivation of the formula for nPr  Permutations when all the items are not separate objects\u202f  Combinations\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>All Miscellaneous exercise questions are answered in NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous exercise Permutations and Combinations. [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"miscellaneous exercise chapter 7 class 11 maths","_yoast_wpseo_title":"NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous Exercise","_yoast_wpseo_metadesc":"Comprehensive NCERT solutions for the Miscellaneous Exercise in Class 11 Maths Chapter 7 on Permutations and Combinations. Detailed explanations, formulas, and examples to help students thoroughly understand and apply the concepts of permutations and combinations.","custom_permalink":"study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-miscellaneous-exercise\/"},"categories":[19,25],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous Exercise<\/title>\n<meta name=\"description\" content=\"Comprehensive NCERT solutions for the Miscellaneous Exercise in Class 11 Maths Chapter 7 on Permutations and Combinations. 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