Question

From a group of 5 freshmen, 3 sophomores, 4 juniors, and 6 seniors, how many 5-person committees are possible if the chair is a junior and there must be exactly 2 seniors?
A. 360

B. 1,050

C. 3,300

D. 13,200

Answer 1

4 (Number of possibilities with at least 1 jr) * 6c2 (# of ways 2 seniors can be chosen in a group of 6) * 11c2 (Number of ways non-seniors can be chosen for the last 2 slots) =
3,300

C.

Answer 2

thank you!