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If m and n are odd integers, how many terms in the expansion of (m +n)^7 are odd?

 Jun 27, 2021
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The Pascal's Triangle for (m+n)^7 has coefficients, 1, 7, 21, 35, 35, 21, 7, 1. If both m and n are odd, then either of them to the power of anything would result in an odd number. Because odd * odd is odd, and all of the coefficients are odd, I think all 8 terms would be odd

 Jun 27, 2021

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