Sets, Relations and Functions - Arithmetic Aptitude Questions and Answers

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Let P(S) denote the power set of set S. Which of the following is always TRUE ?

S ∉ P(S)

P(P(S)) = P(S)

P(S) ∩ S = P (S)

P(S) ∩ P(P(S)) = [ φ ]

Answer : Option D

Explanation :

P(S) ∩ P(P(S)) = [ φ ]

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