A student council consists of 15 students.a. In how many
Chapter 9, Problem 6E(choose chapter or problem)
A student council consists of 15 students.a. In how many ways can a committee of six be selected from the membership of the council?________________b. Two council members have the same major and are not permitted to serve together on a committee. How many ways can a committee of six be selected from the membership of the council?________________c. Two council members always insist on serving on committees together. If they can’t serve together, they won’t serve at all. How many ways can a committee of six be selected from the council membership?________________d. Suppose the council contains eight men and seven women.(i) How many committees of six contain three men and three women?________________(ii) How many committees of six contain at least one woman?________________e. Suppose the council consists of three freshmen, four sophomores, three juniors, and five seniors. How many committees of eight contain two representatives from each class?
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