A club has 12 boys and 18 girls.
The executive of the club consists of president, vice president, secretary, treasurer, and director-at-large. A person can
hold only one executive position at a time. The social committee has 4 members. Members of the executive are allowed to sit on the social committee.

a) How many different executives are possible?
b) How many different all female executives are possible?
c) How many different executives are possible if Sabrina must be president? d) How many different committees are possible?
e) How many different all male committees are possible?
f) How many different committees will have 2 males and 2 females?