Hello Queen Nerdy, thank you for asking a question here on Brainly!
You Asked ➤ There are 12 horses in a race. How many ways can the horses finish first, second, and third?
↴ OUR CHOICES ↴
A: 12
B: 36
C: 220
D: 1320
Tip: Eliminate the choices you know for sure can't possibly be right. We know that it can't be choice A because there are 12 horses. It wouldn't make sense since one horse can reach over 12 variations or ways on finishing a race.
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Answer ➤ There are 1320 ways the horses can finish first, second, and third (assuming no races get tied).
Explanation: We can find the variety of ways be multiplying a permutation together. We know that there are 12 horses that can finish first. In a race, we can tell that another horse won first, but there are 11 other horses that could finish second. And there are 10 different horses that could win third, considering the other two would have won second and first place.
Multiply the numbers together to figure out the variations we get.
12 * 11 * 10 = 1320
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I hope this answer is helpful to you, but please let me know if you have any other questions regarding it.
- Qamar
