Given a class of 12 girls and 10 boys. (a) In how many ways can a committee of five consisting of 3 girls and 2 boys be chosen? (b) What is the probability that a committee of five, chosen at random from the class, consists of three girls and two boys? (c) How many of the possible committees of five have no boys?(i.e. consists only of girls) (d) What is the probability that a committee of five, chosen at random from the class, consists only of girls?