### Home > CCG > Chapter 10 > Lesson 10.3.5 > Problem10-175

10-175.

Write an equivalent expression for each of the following situations that does not include the factorial ($!$) symbol.

1. The first five factors of $(n − 3)!$

$(n − 3)(n − 4)(n − 5)(n − 6)(n − 7)$

2. The first five factors of $(n + 2)!$

3. $\frac { n ! } { ( n - 3 ) ! }$

$\frac{n!}{(n-3)!}=\frac{n(n-1)(n-2)(n-3)(n-4)\ldots}{(n-3)(n-4)\ldots}$

$n(n-1)(n-2)$

4. $\frac { ( n + 2 ) ! } { ( n - 2 ) ! }$