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Question

Let A and B be two finite sets having m and n elements respectively. Then the total number of mappings from A to B is

A

m n

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B

2^{m n}

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C

m^{n}

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D

n^{m}

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Solution

The correct option is D $n^{m}$
Let A and B be two infinite sets having m and n elements respectively. Then total number of mappings from A to B is $n^{m}$ .
Hence, option D is correct.

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