JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1

Let

A=\{1,2,3,4,5\}

and

B=\{1,2,3,4,5\}

. If

f: A \rightarrow B

is an one-one function and

f(x)=x

holds only for one value of

x \in\{1,2,3,4,5\}

, then the number of such possible function is

View answer and explanation

Correct option: C

Option D (44) is incorrect. Option A (40) is incorrect. Option B (36) is incorrect. Option C (45) is correct because it is the number of one-to-one functions where f(x) = x for only one value.

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