If a, b and c are positive integers, then (a + b)(b + c)(c + a) is even or odd?
Mark your answer as: 1, if even 2, if odd 3, if the answer can’t be determined
Explanation:
Case 1: When all three of a, b and c are even the given product will be even.
Case 2: When all three of a, b and c are odd the given product will be even.
Case 3: When 1 of a, b and c is even and other 2 are odd the given product will be even. If a is odd whereas b and c are even, (b + c) will be even making the product even.
Case 4: When 1 of a, b and c is odd and other 2 are even the given product will be even. If a is even whereas b and c are odd, (b + c) will be even making the product even.
Hence, the given product is always even.
Hence, 1.
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