Question 627330
Combinations possible in the committee
a) 1 Republican + 3 Democrats: 20C1 x 15C3 = 20 x (13x14x15)/(2x3) = 9100
b) 2 Republican + 2 Democrats: 20C2 x 15C2 = (19x20)/2 x (14x15)/2 = 19950
c) 3 Republican + 1 Democrats: 20C3 x 15C1 = (18x19x20)/(2x3) x 15 = 17100

Total number of such committees possible is: a + b + c = 46150.