suppose you randomly slect five members from a committee that consists of 8 men and 7 women. find the probability that; a) none are men b) atleast one is a women. Solution a)none are men no. of ways of selecting 5 women from 7 women = 7C5 = 21 total ways of selcting 5 members from 15 = 15C5 total probability = 21/15C5 b)atleast one is woman no. of ways of selecting 1 women from 5 women = 5 no. of ways of selecting 4 members from remaining 14 = 14C4 total probability = 5/14C4.