One mapping is selected at random from all mappings of the set \( S=\{1,2,3, \ldots, n\} \) into...

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One mapping is selected at random from all mappings of the set \( S=\{1,2,3, \ldots, n\} \) into itself. If the probability that the mapping is one-one is \( 3 / 32 \), then the value of \( n \) is
(A) 2
(B) 3
(C) 4
(D) None of these
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