If set A is empty set then n[P[P[P(A)]]] is(A) 6(B) 16(C) 2(D) 4 – InterviewSolution

1.

If set A is empty set then n[P[P[P(A)]]] is(A) 6(B) 16(C) 2(D) 4

Answer»

(D) 4

A = Φ

∴ n(A) = 0

∴ n[P(A)] = 2^n(A) = 2⁰ = 1

∴ n[P[P(A)]] = 2^n[P(A)] = 2¹ = 2

∴ n[P[P[P(A)]]] = 2^n[P[P(A)]] = 2² = 4

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