A race has 17 runners. In how many ways can they finish in first, second, and third place? 2,184 4,080 51 680
Question
A race has 17 runners. In how many ways can they finish in first, second, and third place? 2,184 4,080 51 680
Solution
This is a permutation problem. In a race with 17 runners, the number of ways the runners can finish in first, second, and third place is calculated as follows:
- For the first place, there are 17 possible runners.
- Once the first place is taken, there are 16 runners left for the second place.
- After the first and second places are taken, there are 15 runners left for the third place.
So, the total number of ways is 17 * 16 * 15 = 4,080.
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