The number of function ${f}: {A} \rightarrow$ where ${A}=\{1,2,3,4,5\}$ to ${B}=\left\{{a}_1, {a}_2, {a}_3, {a}_4, {a}_5\right\}$ such that ${f}({i}) \neq {a}_{{i}}, {i}=1,2,3,4,5$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

The number of function

{f}: {A} \rightarrow

where

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

{B}=\left\{{a}_1, {a}_2, {a}_3, {a}_4, {a}_5\right\}

such that

{f}({i}) \neq {a}_{{i}}, {i}=1,2,3,4,5

View answer and explanation

Correct option: C

1024

Option D (192) is correct because it correctly calculates the number of four-digit odd numbers with distinct digits from the given set, considering the restrictions on the first and last digits.

JEE MATHEMATICS MCQ: FUNCTIONS

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