Question

Please Help ASAP :( This is Combinations

5 freshmen, 7 sophomores, 7 juniors, and 5 seniors are eligible to be on a committee.

In how many ways can a dance committee of 15 students be chosen if it is to consist of exactly 4 juniors and exactly 2 seniors, and the rest must be freshman or sophomores?

Answer 1

77000

Explanation:

I know

Answer 2

77000

Explanation:

Total ways of selecting 2 seniors from 5 is 5C2

and Total ways of selecting 4 juniors from 7 is 7C4

ways of selecting 9 freshman or sopho 12 is 12C9

now, total way of selection come to be

5C2×7C4×12C9

i.e, 10×35×220

i.e, 77000