{"id":60212,"date":"2022-01-29T17:30:23","date_gmt":"2022-01-29T12:00:23","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60212"},"modified":"2024-12-07T18:20:53","modified_gmt":"2024-12-07T12:50:53","slug":"ncert-exemplar-solutions-for-class-11-maths-chapter-7-permutations-and-combinations","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/","title":{"rendered":"NCERT Exemplar Solutions for Class 11 Maths Chapter 7 &#8211; Permutations and Combinations"},"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-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_7-_Permutations_and_Combinations\" title=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations\">NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#Discuss_the_fundamental_concepts_of_Permutations_and_Combinations_in_the_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_7\" title=\"Discuss the fundamental concepts of Permutations and Combinations in the NCERT Exemplar Solutions for Class 11 Maths Chapter 7.\">Discuss the fundamental concepts of Permutations and Combinations in the NCERT Exemplar Solutions for Class 11 Maths Chapter 7.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#Can_I_get_the_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_7_in_PDF_format\" title=\"Can I get the NCERT Exemplar Solutions for Class 11 Maths Chapter 7 in PDF format?\">Can I get the NCERT Exemplar Solutions for Class 11 Maths Chapter 7 in PDF format?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#Why_Opt_for_Infinity_Learn\" title=\"Why Opt for Infinity Learn?\">Why Opt for Infinity Learn?<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, <\/span><span style=\"font-weight: 400;\">which includes thorough solutions for reference. All of the unsolved questions from the textbook&#8217;s exercises are answered here. The NCERT Exemplar Solutions for Class 11 provide useful solutions for improving conceptual knowledge and help in entrance examinations like <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\">JEE mains and advanced<\/a><\/span><\/strong>.<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Following are the concepts that are explained in Chapter 7- Permutations and Combinations of <\/span><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/\" target=\"_blank\" rel=\"noopener\"><b>NCERT Exemplar Solutions<\/b><\/a><\/span><span style=\"font-weight: 400;\"> for Class 11:<\/span><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">7.1 Introduction<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">7.2 Fundamental Principle of Counting<\/a><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">7.3 Permutations<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">7.3.1 Permutations when all the objects are distinct<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">7.3.2 Factorial notation<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">7.3.3 Derivation of the formula for nPr<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">7.3.4 Permutations when all the objects are not distinct objects<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">7.4 Combinations<\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 7.1 Solutions 6 Questions<\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 7.2 Solutions 5 Questions<\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 7.3 Solutions 11 Questions<\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 7.4 Solutions 9 Questions<\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Miscellaneous Exercise On Chapter 7 Solutions 11 Questions<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_7-_Permutations_and_Combinations\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The chapter Permutations and Combinations is part of the Algebra subject, which accounts for 30 of the total 80 points. This chapter includes four problems as well as a miscellaneous activity to assist students to grasp the concepts of permutations and combinations. The following are some of the topics covered in Chapter 7 of NCERT Exemplar Solutions for Class 11 Maths:<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The counting idea at its core If an event can happen in m different ways, then another event can happen in n different ways, the total number of times the events can happen in the given order is m n.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">nPr stands for the number of permutations of n different items taken r at a time, where repetition is not permitted.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">n! = 1 \u00d7 2 \u00d7 3 \u00d7 \u2026\u00d7n<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">n! = n \u00d7 (n \u2013 1) !<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The number of permutations of n different things, taken r at a time, where repetition is allowed, is <\/span><span style=\"font-weight: 400;\">n<\/span><span style=\"font-weight: 400;\">r<\/span><span style=\"font-weight: 400;\">.<\/span><\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">As a result, we can conclude that studying Class 11 Permutations and Combinations enables students to comprehend the Fundamental Principle of Counting, Factorial (n! ), Permutations and Combinations, Formulae for nPr and nCr and their connections, and simple applications of permutations and combinations.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><strong><span style=\"font-size: 14pt; color: #000000;\">Frequently Asked Questions<\/span><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Discuss_the_fundamental_concepts_of_Permutations_and_Combinations_in_the_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_7\"><\/span>Discuss the fundamental concepts of Permutations and Combinations in the NCERT Exemplar Solutions for Class 11 Maths Chapter 7.<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe combination is a precise arrangement of multiple elements, whereas permutation is the various ways in which a number or set of objects can be organized. The first is the fundamental theorem of counting, which is based on some of the fundamental notions. For instance, if one event occurs in 'n' different ways while another occurs in \u2018m\u2019 different ways, the net occurrences can be expressed in the order n x m. The second states that the number of permutations 'n' separate items at 'r' time can be expressed as nPr when no repetition occurs, and nr when repetition occurs.\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<h5><span class=\"ez-toc-section\" id=\"Can_I_get_the_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_7_in_PDF_format\"><\/span>Can I get the NCERT Exemplar Solutions for Class 11 Maths Chapter 7 in PDF format?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tYes, students can access the NCERT Exemplar Solutions for Class 11 Maths Chapter 7 in \u2018Infinity learn\u2019 in PDF format. The solutions for the exercise-by-exercise difficulties are created by highly experienced faculty using the most up-to-date CBSE Syllabus for each term. Students can also compare their answers to the solutions PDF to acquire a better understanding of the alternative approaches for tackling complicated issues quickly.\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<h5><span class=\"ez-toc-section\" id=\"Why_Opt_for_Infinity_Learn\"><\/span>Why Opt for Infinity Learn?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\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\": \"Discuss the fundamental concepts of Permutations and Combinations in the NCERT Exemplar Solutions for Class 11 Maths Chapter 7.\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The combination is a precise arrangement of multiple elements, whereas permutation is the various ways in which a number or set of objects can be organized. The first is the fundamental theorem of counting, which is based on some of the fundamental notions. For instance, if one event occurs in 'n' different ways while another occurs in \u2018m\u2019 different ways, the net occurrences can be expressed in the order n x m. The second states that the number of permutations 'n' separate items at 'r' time can be expressed as nPr when no repetition occurs, and nr when repetition occurs.\"\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\": \"Can I get the NCERT Exemplar Solutions for Class 11 Maths Chapter 7 in PDF format?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Yes, students can access the NCERT Exemplar Solutions for Class 11 Maths Chapter 7 in \u2018Infinity learn\u2019 in PDF format. The solutions for the exercise-by-exercise difficulties are created by highly experienced faculty using the most up-to-date CBSE Syllabus for each term. Students can also compare their answers to the solutions PDF to acquire a better understanding of the alternative approaches for tackling complicated issues quickly.\"\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\": \"Why Opt for Infinity Learn?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\"\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<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><span style=\"color: #0000ff;\">Infinity Learn App<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <span style=\"color: #0000ff;\">Learning App<\/span> &#8211; Infinity Learn.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions [&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":"NCERT Exemplar Solutions for Class 11 Maths Chapter 7","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for reference.","custom_permalink":"study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/"},"categories":[107,113,105],"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 Exemplar Solutions for Class 11 Maths Chapter 7 - Permutations and Combinations - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for reference.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 7 - Permutations and Combinations - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for reference.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-01-29T12:00:23+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-12-07T12:50:53+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasad Gupta\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Exemplar Solutions for Class 11 Maths Chapter 7 - Permutations and Combinations - Infinity Learn by Sri Chaitanya","description":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for reference.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Exemplar Solutions for Class 11 Maths Chapter 7 - Permutations and Combinations - Infinity Learn by Sri Chaitanya","og_description":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for reference.","og_url":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-01-29T12:00:23+00:00","article_modified_time":"2024-12-07T12:50:53+00:00","og_image":[{"width":1920,"height":1008,"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"Prasad Gupta","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/","name":"NCERT Exemplar Solutions for Class 11 Maths Chapter 7 - Permutations and Combinations - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2022-01-29T12:00:23+00:00","dateModified":"2024-12-07T12:50:53+00:00","description":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for reference.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"NCERT Exemplar Solutions for Class 11 Maths Chapter 7 &#8211; Permutations and Combinations"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/143c89c9c2f5e56ed91f96dde47b0b05"},"headline":"NCERT Exemplar Solutions for Class 11 Maths Chapter 7 &#8211; Permutations and Combinations","datePublished":"2022-01-29T12:00:23+00:00","dateModified":"2024-12-07T12:50:53+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#webpage"},"wordCount":718,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"articleSection":["Class 11","Maths","NCERT Exemplar Solutions"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/143c89c9c2f5e56ed91f96dde47b0b05","name":"Prasad Gupta","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/200104b443e586c76c46cadc113d931c?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/200104b443e586c76c46cadc113d931c?s=96&d=mm&r=g","caption":"Prasad Gupta"},"url":"https:\/\/infinitylearn.com\/surge\/author\/prasad\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/60212"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=60212"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/60212\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=60212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=60212"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=60212"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=60212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}