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For each statement below, indicate whether it is true or false. Prove each statement that is true and give a counterexample for each statement that

For each statement below, indicate whether it is true or false. Prove each statement that is true and give a counterexample for each statement that is false.

(a) For all sets A, B, and C, (AB) (CB) = A (BC).

(b) For all sets A and B, if AB = then AB = .

(c) For all sets A and B, P(AB) = P(A)P(B).

(d) For all sets A and B, P(AB) = P(A)P(B).

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