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(Rules and Permutations) Eight athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be

(Rules and Permutations)

Eight 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?

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