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36. One mapping /function is selected at...

36. One mapping /function is selected at random from all the mappings of the set A = (1,2,3,4,5) Into itself. Find the probability that the mapping selected is one to one.

A

`(n!)/(n^(n-1))`

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Total number of mappings from a set A into itself is `n^(n)`. And the total number of one-one mapping is n!.
`therefore` Required probability `=(n!)/(n^(n))`
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