NCERT Solutions for Class 11 Maths, Chapter 7 - Permutations and Combinations

Permutations and combinations are one of the most important and interesting topics in mathematics. It shows a way to count different possible arrangements that can be formed from a specific group of items. However, many times you tend to get confused between these two terms and use them interchangeably. However, these two terms are different from each other. Permutation means different arrangements of a given number of elements considered one by one or a few of them or all together at a time. For instance, if we have two elements C and D, then according to permutation, there are two possible arrangements – CD and DC. So, in permutation, the order matters a lot.

Combinations are those arrangements where the order is not considered. It means the number of permutations is always more than the number of combinations. For instance, if there are two elements C and D, in combination there is just one possible arrangement, that is to select both of them.

Permutations and combinations have many real-life applications, such as while tossing a coin, playing board games, selecting players for the sport’s team, assigning phone numbers, selecting nominees for student council, lottery numbers and more.

Let’s take a look at topics and sub-topics of class 11 Maths Chapter 7, Permutations and Combinations

7.1 Introduction

7.2 Fundamental Principle of Counting

7.3 Permutations

7.4 Combinations

In Class 11 Maths Chapter 7, one will learn – 

Section 7.2 – In this section, you’ll learn about the fundamental principle of counting, also known as the multiplication principle.

Section 7.3 – In this section, you’ll learn what is permutation, how to symbolise permutations and some theorems and terms related to permutation such as factorial notation, and derivation of the formula for nPr.

Section 7.4 – In this section, you’ll study about combinations and how they are symbolised with the help of some examples and theorems.

In this chapter, you are provided with several examples along with their solutions for clear understanding of Permutations and Combinations. To know more about Class 11 Maths Chapter 7 Permutations and Combinations, you should explore the exercises below. You can also download the Permutations and Combinations Class 11 NCERT Solutions PDF, solved by expert Maths trainers.