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A mathematics professor wishes to schedule an appointment with each of his seven advisees, five males...

A mathematics professor wishes to schedule an appointment with each of his seven advisees, five males and two females, to discuss their grades. Suppose all possible arrangements of appointments are equally likely to be selected

a) What is the probability that after the first three meetings with advisees, the professor has met with at least one male advisees?

b) What is the probability that after the first four meetings with advisees, the professor has met with all female advisees?

Math   Statistics-And-Probability   
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