1) A five member committee has to be formed from a special group of 7 Republicans and 8
Democrats.
a) In how many ways can we form this committee?
b) What is the probability that all members are Republicans?
c) What is the probability that there are at least two Democrats?
d) What is the probability of having a Republican majority?
e) If this special group of Republicans and Democrats contains 10 women and 5 men, what is the probability of forming this five member committee such that all members are women?