# How many elements has P(A), if A = Φ?

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How many elements has P(A), if A = Φ?

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We know that if A is a set with m elements i.e., n(A) = m, then n[P(A)] = 2m

If A = Φ, then n(A) = 0.

∴ n[P(A)] = 20 = 1

Hence, P(A) has one element.