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Question

Mathematics Question on Sets

If the set AA contains 55 elements, then the number of elements in the power set P(A)P(A) is equal to

A

32

B

25

C

16

D

8

Answer

32

Explanation

Solution

Given, n(A)=5n(A)=5 So, the number of elements in the power set
=2n={{2}^{n}} =25=32={{2}^{5}}=32