Probability question 3

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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

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