Question: (c) Let A and B be two sets. Determine which of the following statements are true and which are false. Prove each statement that is

(c) Let A and B be two sets. Determine which of the following statements are true and which are false. Prove each statement that is true and give a counter-example for each statement that is false.

i. P(A B) = P(A) P(B)

ii. P(A B) = P(A) P(B)

iii. P(A) P(B) P(A B)

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