Question

In a high school band there are 11 students in the drumline section. The drumline for a football game consists of 6 students. In how many ways can the drumline be formed for a football game?

Answer 1

If order counts, that's `11 times 10 times 9 times 8 times 7 times 6=332640.` If not there are 11 choose 6 combinations.

`C(11,6)=462` combinations, which is the first number divided by `6! =720`.