# In a horse race, how many different finishes among the first three places are possible for a ten-horse race?

##### 1 Answer

Apr 18, 2017

Assuming all horses have an equal chance of winning, there are 10 horses which can come in first, then, there are 9 remaining horses which can come in second, and finally, there are 8 remaining horses which can come in third.

The number of different finishes for the first three places are: