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Let A and B be two finite sets having m ...

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

mn

B

`2^(mn)`

C

`m^(n)`

D

`n^(m)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Let A and B be two finite sets having m and n elements respectively such that m le n . A mapping is selected at random from the set of all mappings from A to B. The probability that the mapping selected is an injection, is

    A
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    C
    `(m!)/((n-m)!n^(m))`
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    `(m!)/((n-m)!m^(n))`

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