A recreational club has 12 members.
a. In how many ways can the club choose 6 members to form a volleyball team? Show work.
b. 5 of the club members are men and 7 are women. In how many ways can the club choose 6 members to form the volleyball team, if 2 team members must be men and 4 team members must be women? Show work
c. If a 6-person volleyball team is selected at random from the 12 club members, what is the probability the team consists of 2 men and 4 women? Show work.