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One mapping is selected at random from all the mappings of the set `A={1,2, 3.. n}` into itself. The probability that eh mapping selected is one to one is a. `1/(n^n)` b. `1/(n !)` c. `((n-1)!)/(n^(n-1))` d. none of these

A

`(1)/(n !)`

B

`(1)/(n^(n))`

C

`(n!)/(2^(n))`

D

`(n!)/(n^(n))`

Text Solution

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The correct Answer is:
D
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