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A school dance committee is to consist of 8 students. The students that are eligible to...

A school dance committee is to consist of 8 students. The students that are eligible to be in the committee are 11 freshmen and 10 sophomores. The order in how the committee members are chosen is important because they will be having different obligations.

a) What is the probability that exactly the first 7 students chosen are freshmen?

b) What is the probability that no sophomores are chosen?

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