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Question

Mathematics Question on sets

Let S = {1, 2, 3, 4, 5}
if f : S → P(S), where P(S) is power set of S. Then number of one-one functions f can be made is

A

(32)5

B

32!27!\frac{32!}{27!}

C

32C27^{32}C_{27}

D

32P27^{32}P_{27}

Answer

32!27!\frac{32!}{27!}

Explanation

Solution

The correct answer is (B) : 32!27!\frac{32!}{27!}