A recreational club has 15 members. 9 of the club members are men and 6 are women. (SHOW ALL WORK)
1. in how many ways can the club choose 6 of the 15 members to form a volleyball team?
2. in how many ways can the club choose 6 of the 15 members to form the volleyball team, if 4 members must be men and 2 team members must be women?
3. if a 6 person volleyball team is selected at random from the 15 club members, what is the probability the team consists of 4 men and 2 women?