Question 1019519
There are C(7,2) = 21 ways of choosing 2 from 7 juniors.
There are C(7,4) = 35 ways of choosing 4 from 7 seniors.
After choosing 6 people, we have to choose 9 more students from the 6 freshmen and 5 sophomores.
There are C(6,6)*C(5,3)+C(6,5)*C(5,4)+C(6,4)*C(5,5) = 10+30+15 = 55.
Thus there are 21*35*55 = 40,425 ways to choose.