Question

A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 5 freshmen, 7 sophomores, 8 juniors, and 9 seniors are eligible to be on the committee, in how many ways can the committee be chosen?

Answer 1

Answer:

3087000

Step-by-step explanation:

(5\choose 2) we use for how many combination we have when we choose 2 freshmen from set of 5 freshmen.

(7\choose 3) for 3 sophomers of 7 sophomores itc...

The number of all combination is:

$({5\choose 2})({7\choose 3})({8\choose 4})({9\choose 5})=10*35*70*126=3087000$