1.

One mapping is selected at random from all mappings of the set `S={1,2,3, n}`into itself. If the probability that the mapping is one-one is 3/32,then the value of `n`is`2`b. `3`c. `4`d. none of theseA. 2B. 3C. 4D. none of these

Answer» Correct Answer - C
The total number of mapping is `n^(n)`. The number of one-one mapping is n!. Hence, the probability is
`(n!)/(n^(n))=(3)/(32) = (4!)/(4^(4))`
Comparing, we get n = 4.


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