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QUESTION

Show that if A and B are sets |A| = |B|, then |P(A)| = |P(B)|.

Show that if A and B are sets |A| = |B|, then |P(A)| = |P(B)|. (P(X) is power set and |A|=|B| means A and B have same cardinality (are equinumous)) (This problem is from discrete mathematics and its application chapter 2.5 problem 18. I need help with homework, please write carefully so that I could understand)

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