The statistics department at the authors’ university participates in an annual volleyball tournament. Suppose that all 16 department members are willing to play.
a. How many different six-person volleyball rosters could be generated? (That is, how many years could the department participate in the tournament without repeating the same six-person team?)
b. The statistics department faculty consists of 5 women and 11 men. How many rosters comprised of exactly 2 women and 4 men be generated?
c. The tournament’s rules actually require that each team includes at least two women. Under this rule, how many valid teams could be generated?

d. Suppose this year the department decides to randomly select its six players. What is the probability the randomly selected team has exactly two women? At least two women?