Let P(S) denotes the power set of set S. Which of the following is always true?
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Let P(S) denotes the power set of set S. Which of the following is always true?
- A.
P(P(S))=P(S)
- B.
P(S) ∩ P(P(S))={ϕ}
- C.
P(S)∩S=P(S)
- D.
S∉P(S)
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Correct answer: B
The power set P(S) contains all subsets of S. For any set S, P(P(S)) contains sets of subsets.
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