Question: Set 1: Prove the following statement (using indirect proof method): For all integers a, b, c, the product (ab)(ac)(bc) is even. (Hint: Use the following

Set 1: Prove the following statement (using indirect proof method): For all integers a, b, c, the product (ab)(ac)(bc) is even. (Hint: Use the following cases: i) a, b, and c even integers ii) a, b, and c are odd integers iii) a is even, but b and c are odd integers iv) a is odd, but b and c are even integers)

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