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

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256

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Solution

The correct option is D
256

$n (A) = 3 ∴ n (P (A)) = 2^{3} = 8 L e t P (A) = B \Rightarrow P (P (A)) = P (B) n (B) = 8 \Rightarrow n (P (B)) = 2^{8} = 256$

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