Question

How many different committees can be formed from 12 teachers and 33 students if the committee consists of 2 teachers and 3 students?

Answer 1

There are C(12,2) ways to select 2 teachers from 5 and C(33,3) ways to select 3 students from 33.

C(n,r) is the combination of n units taken r at time.

Using the multiplication counting principle, the number of different committees that can be formed is given by:

C(12,2)*C(33,3) =   

=

=

=

Hence, 360096 committees can be formed from 12 teachers and 33 students if the committee consist of 2 teachers and 3 students?