In a race, there are 14 runners. Trophies for the race are awarded to the runners finishing in first through fourth place. In how many ways can first through fourth place be determined?

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There are 14 possible runners for the 1st place, then 13 for the 2nd place ( we already have one runner on the first place ) etc. 14 * 13 * 12 * 11 = 24,024 Answer: The 1st through the 4th place can be determined in 24,024 ways.

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