A committee of 4 students is to be selected from 17 students in a fraternity

Question

A committee of 4 students is to be selected from 17 students in a fraternity

a) in how many ways can this be done?

b) in how many ways can the group that will not take part be chosen?

Answer 1

17C4 = 17!/4!13! = 17x16x15x14/4x3x2 = 17x2x5x14 = 34x60 = 2040 ways to select 4 from 17

17C13 = same = 2040 ways to select 13 from 17