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in Sets, Relations and Functions by (46.3k points)
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Which one of the following statements is correct?

(a) A ∪ P(A) = P(A) 

(b) A ∩ P(A) = A 

(c) A – P(A) = A 

(d) P(A) – {A}= P(A) 

where P(A) denotes the power set of A.

1 Answer

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Best answer

(b) A ∩ P(A) = A

Here, P(A) denotes the power set of A. 

Hence, A is a subset of P (A). 

∴ A ∩ P(A) = A

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