Question: Suppose that there are eight runners in a race. The winner recerves a gold medal, the second place finisher receives a silver medal, and

Suppose that there are eight runners in a race. The winner recerves

Suppose that there are eight runners in a race. The winner recerves a gold medal, the second place finisher receives a silver medal, and the third-place finsher receives a bronze medal. How many different ways are there to award these medals, if all possible outcomes of the race can occur and there are no ties?

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