 # NCERT Solution Class 11 Chapter 7- Permutations and Combinations

## NCERT Solutions For Class 11 Maths Chapter 7 PDF Free Download

The NCERT Solutions Class 11 Chapter 7 Permutations and Combinations prepared in accordance with the CBSE guidelines have been provided here. The Permutation is nothing but each of several possible ways in which a set or number of things can be ordered or arranged. Whereas, Combinations can be defined as a selection of all or part of a set of objects, irrespective of the order in which objects are selected. In this chapter, students learn about the topics mentioned earlier, Permutation and Combination, in detail. Students can easily score full marks in the questions from this chapter by practising the solutions for all the problems present in the NCERT textbook. The NCERT Solutions of this chapter designed by the subject matter experts at BYJU’S cover all the exercise questions included in the book.

### Access Answers of Maths NCERT Class 11 Chapter 7- Permutations and Combinations                    ## NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations

The major concepts of Maths covered in Chapter 7- Permutations and Combinations of NCERT Solutions for Class 11 includes:

7.1 Introduction

7.2 Fundamental Principle of Counting

7.3 Permutations

7.3.1 Permutations when all the objects are distinct

7.3.2 Factorial notation

7.3.3 Derivation of the formula for nPr

7.3.4 Permutations when all the objects are not distinct objects

7.4 Combinations

Exercise 7.1 Solutions 6 Questions

Exercise 7.2 Solutions 5 Questions

Exercise 7.3 Solutions 11 Questions

Exercise 7.4 Solutions 9 Questions

Miscellaneous Exercise On Chapter 7 Solutions 11 Questions

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

The chapter Permutations and Combinations belongs to the unit Algebra, that adds up to 30 marks of the total 80 marks. There are 4 exercises along with a miscellaneous exercise in this chapter to help students understand the concepts related to Permutations and Combinations clearly. Some of the topics discussed in Chapter 7 of NCERT Solutions for Class 11 Maths are as follows:

1. Fundamental principle of counting If an event can occur in m different ways, following which another event can occur in n different ways, then the total number of occurrence of the events in the given order is m × n.
2. The number of permutations of n different things taken r at a time, where repetition is not allowed, is denoted by nPr
3. n! = 1 × 2 × 3 × …×n
4. n! = n × (n – 1) !
5. The number of permutations of n different things, taken r at a time, where repetition is allowed, is nr

Hence we can conclude that studying the Permutations and Combinations of Class 11 enables the students to understand the Fundamental principle of counting, Factorial (n!), Permutations and combinations, derivation of Formulae for nPr and nCr and their connections and the simple applications of permutations and combinations.