Home > A2C > Chapter 10 > Lesson 10.2.3 > Problem10-97

10-97.

If $n \gt 3$, write a shorter equivalent expression for $n \left(n − 1\right)\left(n − 2\right)\left(n − 3\right)$.

Use factorial form. Think of which factors will cancel.

$\frac{n!}{(n-4)!}$