# Horse Race Permutations

Probability Level 1

At the start of a horse race, there are 12 distinct horses in the field. 3 horses can place at the end of the race, and it matters what order the horses placed in. For example, if horses $\text{A},$ $\text{B},$ and $\text{C}$ placed, then it would matter which horse came in $1^\text{st}, 2^\text{nd},$ and $3^\text{rd}.$ The order $\text{ABC}$ would be different than $\text{ACB}.$

How many possible fields of placed horses are there?

×