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Bijective Function

If nA = 5, ...

Question

If $n (A) = 5, n (B) = 3$ then the number of bijections from $A$ to $B$ is

A

15

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B

125

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C

243

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D

0

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Solution

The correct option is D $0$
$n (A) \neq n (B) ∴ f; A \to B$ is not one-one.
$∴ f$ cant be a bijection.
no of bijections from $A$ to $B$ is zero

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n (A) + n (B) = m

, then the number of possible bijections from

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