### Home > INT2 > Chapter 12 > Lesson 12.1.2 > Problem12-21

12-21.

Twelve horses raced in the CPM Derby.

1. How many ways could the horses finish in the top three places?

$1320$

2. If you have not already done so, write your answer to part (a) as a fraction with factorials.

$\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}$