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Question

If A has 3 elements and P(A) denotes the power set of A, then the number of elements in P(P(A)) is


A

8

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B

9

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C

81

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D

256

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Solution

The correct option is D

256


n(A)=3n(P(A))=23=8Let P(A)=B P(P(A))=P(B)n(B)=8 n(P(B))=28=256


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