# NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combinations

NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combinations: If you have 6 pants and 3 shirts, how many pairs you can wear? Suppose the pants are represented by p1,p2,p3,p4,p5,p6 and shirt by s1, s2, s3 then the possible pairs are (p1,s1), (p1,s2), (p1,s3), (p2,s1), (p2,s2), (p2,s3), (p3,s1), (p3,s2), (p3,s3), (p4,s1), (p4,s2), (p4,s3), (p5,s1), (p5,s2), (p5,s3), (p6,s1), (p6,s2), (p6,s3). So 18 pairs can be made. Without listing the pairs we can simply say that $6\times 3$ pairs are possible. That is “If an event can occur in p different ways, following which another event can occur in q different ways, then the total number of occurrence of the events in the given order is $p\times q$ and this is known as the fundamental principle if counting.

The NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations starts with the concept of fundamental principle if counting and introduces the concept of Permutation and Combinations. The concept mentioned in the NCERT Class 11 Maths Chapter 7 will be used in many real-life situations where the problems of selection and arrangement come in to picture. The concept of combination and permutation mentioned in the  NCERT Solutions of this chapter will be used in chapter Probability also.

## The topics of the chapter Permutation and Combinations are listed below

7.1 Introduction

7.2 Fundamental Principle of Counting

7.3 Permutations

7.4 Combinations

Permutation and Combination: In simple language, the permutation is the number of arrangments possible within a fixed group and combination is used to figure out how many groups can be formed from a large number of people.

For example

a)  Find the number of different 8-letter arrangements that can be made from the letters of the word DAUGHTER so that all vowels occur together?

b)  A committee of 5 persons is to be formed from a group of 6 men and 7 women. In how many ways can this be done?

In the question a) we use Permutation and in question b) we use combinations.

The NCERT Solutions for Class 11 will help you to boost and memorize the concept you have studied.

## The NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combinations are given below:

NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combinations - Exercise 7.1

NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combinations - Exercise 7.2

NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combinations - Exercise 7.3

NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combinations - Exercise 7.4

NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combinations - Miscellaneous

## NCERT Solutions for Class 11 Mathematics

 Chapter-1 Sets Chapter-2 Relations and Functions Chapter-3 Trigonometric Functions Chapter-4 Principle of Mathematical Induction Chapter-5 Complex Numbers and Quadratic equations Chapter-6 Linear Inequalities Chapter-8 Binomial Theorem Chapter-9 Sequences and Series Chapter-10 Straight Lines Chapter-11 Conic Section Chapter-12 Introduction to Three Dimensional Geometry Chapter-13 Limits and Derivatives Chapter-14 Mathematical Reasoning Chapter-15 Statistics Chapter-16 Probability

## NCERT Solutions for Class 11- Subject wise

 NCERT Solutions for Class 11 Biology NCERT Solutions for Class 11 Maths NCERT Solutions for Class 11 Chemistry NCERT Solutions for Class 11 Physics