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Suppose we have a group of seven people, Tom, Dave, Bill, Mike, Jane, Kathy and Susan. A committee consisting of a president, vice-president, secretary and

Suppose we have a group of seven people, Tom, Dave, Bill, Mike, Jane, Kathy and Susan. A committee consisting of a president, vice-president, secretary and treasurer is to be formed. (a) If the committee is randomly selected, what is the probability that Susan is the president, Dave is the vice-president, Kathy is the secretary, and Mike is the treasurer? (b) What is the probability that the committee will consist of Tom, Dave, Jane and Bill? (c) What is the probability that the committee will consist of two males and two females?

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