NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations (क्रमचय और संचय) Exercise 7.1 or Exercise 7.2 or Exercise 7.3 or Exercise 7.4 or Miscellaneous view online or download in PDF form free.

## NCERT Solutions for Class 11 Maths Chapter 7

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### Class 11 Maths Chapter 7 Permutations & Combinations Solutions

These solutions are for CBSE, Uttarakhand Board, Bihar Board, UP Board, MP Board, Gujrat Board and other state board’s students, who are following NCERT Books for their school exams 2018-19. Students can do directly class 12 without appearing in 11th through NIOS Online Admission. It is equally valuable as the other boards.

- View Online Exercise 7.1 Sols
- Download Exercise 7.1 in PDF
- View Online Exercise 7.2 Sols
- Download Exercise 7.2 in PDF
- View Online Exercise 7.3 Sols
- Download Exercise 7.3 in PDF
- View Online Exercise 7.4 Sols
- Download Exercise 7.4 in PDF
- View Online Miscellaneous Exercise
- Download Miscellaneous Exercise 7
- NCERT Books for Class 11
- Revision Books for Class 11
- Hindi Medium Solutions will be uploaded very soon.

##### 11 Maths Chapter 7 Exercise 7.1 Sols

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Exercise 7.1 is given below. For other questions, please visit to Exercise 7.2 or Exercise 7.3 or Exercise 7.4 or Miscellaneous Solutions. Visit to Class 11 Maths main page or Top of the page.

##### 11 Maths Chapter 7 Exercise 7.2 Sols

NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.2 is given below. For other questions, please visit to Exercise 7.1 or Exercise 7.3 or Exercise 7.4 or Miscellaneous Solutions. Visit to Class 11 Maths main page or Top of the page.

##### 11 Maths Chapter 7 Exercise 7.3 Sols

Class 11 Maths Chapter 7 Exercise 7.3 solutions are given below. For other questions, please visit to Exercise 7.1 or Exercise 7.2 or Exercise 7.4 or Miscellaneous Solutions. Visit to Class 11 Maths main page or Top of the page.

##### 11 Maths Chapter 7 Exercise 7.4 Sols

Solutions for Class 11 Maths Chapter 7 Exercise 7.4 is given below. For other questions, please visit to Exercise 7.1 or Exercise 7.2 or Exercise 7.3 or Miscellaneous Solutions. Visit to Class 11 Maths main page or Top of the page.

##### 11 Maths Chapter 7 Miscellaneous Exercise

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous Exercise is given below. For other questions, please visit to Exercise 7.1 or Exercise 7.2 or Exercise 7.3 or Exercise 7.4 Solutions. Visit to Class 11 Maths main page or Top of the page.

Visit to Class 11 Maths main page or Top of the page

#### Terms on Permutations & Combinations

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

*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.*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)!)*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.

- 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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