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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 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

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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