# NCERT Solutions for Class 11 Maths Chapter 7

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations (Kramchay aur Sanchay) Exercise 7.1, Exercise 7.2, Exercise 7.3, Exercise 7.4 and Miscellaneous download in PDF free for 2021-22.

UP Board S Solutions and NCERT Solutions Offline Apps 2021-22 now updated for new academic session 2021-22. These solutions are applicable for all students of UP Board, CBSE Board and all other boards who are following CBSE Syllabus 2021-2022. Download UP Board solutions for class 11 Math chapter 7 in PDF file format.## NCERT Solutions for Class 11 Maths Chapter 7

Class: 11 | Maths (English and Hindi Medium) |

Chapter 7: | Permutations and Combinations |

### 11th Maths Chapter 7 Solutions

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations all exercises including miscellaneous are given below for new academic session 2021-22. These NCERT solutions 2021-22 are for CBSE, Uttarakhand Board, Bihar Board, UP Board, MP Board, Gujrat Board and other state board’s students, who are following NCERT Books 2021-22 for their school exams 2021-22. Students can do directly class 12 without appearing in 11th through NIOS Online Admission. It is equally valuable as the other boards.

### 11th Maths Chapter 7 Solutions in English Medium

### 11th Maths Chapter 7 Solutions in PDF

#### Class 11 Maths Chapter 7 Exercise 7.1 Solution in Videos

#### Class 11 Maths Chapter 7 Exercise 7.2 Solution in Videos

#### Class 11 Maths Chapter 7 Exercise 7.3 Solution in Videos

#### Class 11 Maths Chapter 7 Exercise 7.4 Solution in Videos

#### Class 11 Maths Chapter 7 Miscellaneous Exercise 7 Solution in Videos

##### What is meant by Permutation?

Permutation: A permutation is an arrangement of a number of objects in a definite order taken some or all at a time.

##### What is meant by Combination?

Combination: Each of the different selections made by choosing some or all of a number of objects, without considering their order is called a combination. The number of combination of n objects taken r at a time where 0 ≤ r ≤ n, is denoted by nCr or C(n, r).

#### Terms on Permutations & Combinations

1. Multiplication Principle (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 no. of different ways of occurrence of the two events in order is m × n.

2. Factorial: Factorial of a natural number n, denoted by n! or n is the continued product of first n natural numbers. n! = n × (n – 1) × (n – 2) × … × 3 × 2 × 1 or equal to n × ((n – 1)!) or equal to n × (n – 1) × ((n – 2)!)

3. Fundamental Principle of Addition: If there are two events such that they can occur independently in m and n different ways respectively, then either of the two events can occur in (m + n) ways.

4. The number of permutation of n different objects taken r at a time where 0 ≤ r ≤ n and the objects do not repeat is denoted by nPr or P(n, r).

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