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If P(S)denotes the set of all subsets of a given set S,then the number of one-to-one functions from the set S={1,2,3} to the set P(S) is.....


The answer is 336.

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1 solution

Soumava Pal
Oct 2, 2014

there are 2^3=8 elements in P(s). therefore for f(1) we have 8 choices for f(2) we have 7 choices and for f(3) we have 6 choices.in total we have 8 7 6=336 choices

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