Question

A committee of 2 teachers and 3 students is to be randomly chosen from a group of 5 teacher and 6 students. the total number of different committees is?

Answer 1

2 committees with one teacher left over

Answer 2

Ways to choose 2 teachers from 5:
5!/[2!(3!)] = 5*4/2 = 10
ways to choose 3 students from 6
6!/[3!(3!)] = 6*5*4 /(3*2) = 20
10*20 = 200