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

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

   Answer (a):

   $(n − 3)(n − 4)(n − 5)(n − 6)(n − 7)$

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

3. $\frac { n ! } { ( n - 3 ) ! }$ 

   Hint (c):

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

   Answer (c):

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

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