### Eight fastest runners advance to the olympics

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How many different ways can 28 runners place in an Olympic qualifying marathon?

If only the eight fastest runners advance to the Olympics; how many different ways can the eight fastest runners be chosen from the whole field of 28 runners?

If the runner in first place receives a gold medal, the runner in second place receives a silver medal, and the runner in third place receives a bronze medal, how many different ways can the three medalists be chosen from the entire field of 28 runners?

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