The number of distinct, different 4-person committees that can be formed
from a group of 32 people is
(32!/28!) / (4!) = (32 x 31 x 30 x 29) / (4 x 3 x 2 x 1) = 35,960
(but obviously, no more than four at a time.)
Chat with our AI personalities
72
15
There are 16C6 = 16*15*14*13*12*11/(6*5*4*3*2*1) possible committees. That is, 8,008 of them.
The answer is 15 * 14 * 13 = 15 P 3 = 780 IF you assume that no one person can hold two offices at once and that all in the group are qualified for any office.
5 for 2, 3 for 3, 2 for 4.