Question

A committee of eight congressmen will be selected from a group of eight democrats and seven republicans. find the number of ways of obtaining exactly one republican.

Answer 1

8 choose 7 times 7 choose1

Answer 2

of more simply put, 8 ways to exclude the one democrat and 7 ways to pick the one republican, by the counting principle it is \(8\times 7\)

Answer 3

okay, thanks :) make perfect sense