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A math-olympics is being held this weekend among SPC Math professors. There are 60 professors signed up, and the first 3 finishers will receive $100,...

A math-olympics is being held this weekend among SPC Math professors. There are 60 professors signed up, and the first 3 finishers will receive $100, $50, and $20, respectively. If we assume that each professor has an equal chance of winning, what is the probability that Prof. Weideman will finish second?

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