{"id":1226,"date":"2021-12-17T17:59:32","date_gmt":"2021-12-17T12:29:32","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1226"},"modified":"2024-11-22T15:18:36","modified_gmt":"2024-11-22T09:48:36","slug":"ncert-solutions-for-class-11-maths-chapter-7-permutations-and-combinations","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/","title":{"rendered":"NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations"},"content":{"rendered":"<p><span data-contrast=\"auto\">Subject specialists have created NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for reference. All of the questions from the textbook&#8217;s exercises are answered here. Students can use these answers to help them prepare for their exams. The <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 11<\/a><\/span><\/strong> provide useful solutions for improving conceptual knowledge.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT 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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Following are the concepts that are explained in Chapter 7- Permutations and Combinations of <\/span><strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 11: <\/a><\/span><\/strong><\/p>\n<p style=\"padding-left: 40px;\">7.1 Introduction<\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"none\">7.2 Fundamental Principle of Counting<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"none\">7.3 Permutations<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"none\">7.3.1 Permutations when all the objects are distinct<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"none\">7.3.2 Factorial notation<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"none\">7.3.3 Derivation of the formula for nPr<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"none\">7.3.4 Permutations when all the objects are not distinct objects<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"none\">7.4 Combinations<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-7-2\/\" target=\"_blank\" rel=\"noopener\">Exercise 7.2 Solutions 5 Questions <\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-7-3\/\" target=\"_blank\" rel=\"noopener\">Exercise 7.3 Solutions 11 Questions <\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-7-4\/\" target=\"_blank\" rel=\"noopener\">Exercise 7.4 Solutions 9 Questions <\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations-miscellaneous-exercise\/\" target=\"_blank\" rel=\"noopener\">Miscellaneous Exercise On Chapter 7 Solutions 11 Questions <\/a><\/span><\/li>\n<\/ul>\n<p aria-level=\"2\"><b><span data-contrast=\"none\">NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">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 Solutions for Class 11 Maths:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ol>\n<li><span data-contrast=\"none\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">nPr stands for the number of permutations of n different items taken r at a time, where repetition is not permitted.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">n! = 1 \u00d7 2 \u00d7 3 \u00d7 \u2026\u00d7n<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">n! = n \u00d7 (n \u2013 1) !<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">The number of permutations of n different things, taken r at a time, where repetition is allowed, is <\/span><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;msup&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;\/msup&gt;&lt;mo&gt;.&lt;\/mo&gt;&lt;\/math&gt;\">nr.<\/span><\/li>\n<\/ol>\n<p><span data-contrast=\"none\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"2\"><strong>Frequently Asked Questions on NCERT Solutions for Class 11 Maths Chapter 7 <\/strong><\/p>\n<ol>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\">What are the crucial topics covered in the NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations? <\/span><\/li>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\" data-contrast=\"none\">Discuss the fundamental concepts of Permutations and Combinations in the NCERT Solutions for Class 11 Maths Chapter 7?<\/span><\/li>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\" data-contrast=\"none\">Can I get the NCERT Solutions for Class 11 Maths Chapter 7 in PDF format?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:620,&quot;335559740&quot;:264}\"> <\/span><\/li>\n<\/ol>\n<p aria-level=\"3\"><strong>1. What are the crucial topics covered in the NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations? <\/strong><\/p>\n<p><span data-contrast=\"none\">The important topics that are explained in the <\/span><b><span data-contrast=\"none\">NCERT Solutions for Class 11<\/span><\/b><span data-contrast=\"none\"> Maths Chapter 7 Permutations and Combinations are listed below\u2013<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ol>\n<li><span data-contrast=\"none\"> Introduction<\/span><\/li>\n<li><span data-contrast=\"none\"> Fundamental Principle of Counting<\/span><\/li>\n<li><span data-contrast=\"none\"> Permutations<\/span><\/li>\n<li><span data-contrast=\"none\"> Combinations<\/span><\/li>\n<\/ol>\n<p aria-level=\"3\"><strong>2. Discuss the fundamental concepts of Permutations and Combinations in the NCERT Solutions for Class 11 Maths Chapter 7?<\/strong><\/p>\n<p><span data-contrast=\"none\">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 &#8216;n&#8217; different ways while another occurs in \u2018m\u2019 different ways, the net occurrences can be expressed in the order n x m.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The second states that the number of permutations &#8216;n&#8217; separate items at &#8216;r&#8217; time can be expressed as nPr when no repetition occurs, and nr when repetition occurs.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><strong>3. Can I get the NCERT Solutions for Class 11 Maths Chapter 7 in PDF format? <\/strong><\/p>\n<p><span data-contrast=\"none\">Yes, students can access the NCERT 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.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for [&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":"Free Solutions for Class 11 Maths Chapter 7","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Download Free PDF of NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations solved by Expert Teachers as per NCERT (CBSE) textbook guidelines. All Chapter 7- Permutations and Combinations Exercises Questions with Solutions to help you to revise the complete Syllabus and boost your score in examinations.","custom_permalink":"study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/"},"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 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Download Free PDF of NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations solved by Expert Teachers as per NCERT (CBSE) textbook guidelines. 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All Chapter 7- Permutations and Combinations Exercises Questions with Solutions to help you to revise the complete Syllabus and boost your score in examinations.","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-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations - Infinity Learn by Sri Chaitanya","og_description":"Download Free PDF of NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations solved by Expert Teachers as per NCERT (CBSE) textbook guidelines. 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All Chapter 7- Permutations and Combinations Exercises Questions with Solutions to help you to revise the complete Syllabus and boost your score in examinations.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-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 Solutions for Class 11 Maths Chapter 7- Permutations and Combinations"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/143c89c9c2f5e56ed91f96dde47b0b05"},"headline":"NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations","datePublished":"2021-12-17T12:29:32+00:00","dateModified":"2024-11-22T09:48:36+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-7-permutations-and-combinations\/#webpage"},"wordCount":723,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"articleSection":["NCERT Solutions","NCERT Solutions for Class 11 Mathematics"],"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\/1226"}],"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=1226"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/1226\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=1226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=1226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=1226"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=1226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}