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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none of these

answer is C.

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Detailed Solution

The total number of mapping is nn. The number of one-one mapping is n!. Hence, the probability isn!nn=332=4!44Comparing, we get n = 4.

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