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A mapping is select at random from the set of all the mappings of the set `A={1,2, n}` into itself. Find the probability that the mapping selected is an injection.

A

`1/n^n`

B

`1/(n!)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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