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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) !n^(m))`

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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