In Q.1 total number of one-one functions f : A → → B is equ…

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

In Q.1 total number of one-one functions f : A → → B is equal to

n P m

n C B

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The correct answer is:

For function to be one-one, each element of set A must have a different image in set B. We first of all choose any 'm' elements in set B. This can be done in n C m ways. Now one-one correspondence of elements of set A with these selected elements can be done in m! ways. Thus total number of one-one functions will be equal to n C m .m! i.e., n p m .

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