In a club with 12 male and 8 female members, a 8-member committee will be randomly chosen. find the probability that the committee contains 3 men and 5 women.
total 20 persons so total outcome = 20c8 now event to choose 3men out of 12 by 12c3 and 5 women out of 8 by 8c5 so no . favourable outcome = 12c3*8c5 probability = favourable outcome/total outcome = 12c3*8c5/20c8