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Answer the questions below. (a) 79 athletes are running a race. A gold medal is to be given to the winner, a silver medal is

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Answer the questions below. (a) 79 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? 474,474 (b) There are 15 European cities that Jim would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.) D

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