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(a) 52 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to

(a)

52 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?

(b) A company that makes crayons is trying to decide which 3colors to include in a promotional mini-box of 3 crayons. The company can choose the 3 mini-box colors from its collection of 75 colors. How many mini-boxes are possible?

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