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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

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2
b
3
c
4
d
None of these

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detailed solution

Correct option is C

The total number of mapping is nn. The number of one-one mapping nC1n−1C1⋯1C1=n! Hence, the probability is n!nn=332=4!44Comparing, we get n = 4.


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