Question 1069727
<pre>
5 freshmen, choose 2 = 5C2 = 10 ways

times

9 sophomores, choose 3 = 9C3 = 84 ways

times

7 juniors, choose 4 = 7C4 = 35 ways

times

8 seniors, choose 5 = 8C5 = 56 ways

Answer = (5C2)(9C3)(7C4)(8C5) = (10)(84)(35)(56) = 1646400 ways.

Edwin</pre>