if P(A) = P(B) the write the possible relations between the sets A and B.
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P(A) is the power set of A and P(B) is the power set of B. Since it is given that P(A)=P(B), then, this means the power sets of A and B are equal, this implies that the subsets of two sets A and B are equal.
Therefore , A and B should contain the same elements.
A=B.
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