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If a set A has 5 elements, what is the number of elements in its power set, n(P(A))?

  • A.5
  • B.10
  • C.25
  • D.32

Answer: D

The power set contains every subset, and each element is either in or out.

\[ n(P(A)) = 2^{n(A)} = 2^{5} = 32 \]

That count includes the empty set and \( A \) itself.

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