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

Guest Jun 27, 2021

#1**0 **

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

Awesomeguy Jun 27, 2021