Question Type 2: Dividing factorials Exercises

Simplify $\frac{10!}{8!}$

Simplify $\displaystyle\frac{(n+3)!}{(n-1)!\,4!}$

Simplify $\displaystyle\frac{(n+2)!}{n!\,2!}$

Simplify $\displaystyle\frac{7!}{5!\,4!}$

Calculate $\displaystyle\frac{12!}{8!\,4!}$

Express $\displaystyle\frac{n!}{(n-2)!\,2!}$ in simplest form.

For $n>3$, simplify $\frac{n!/(n-3)!}{3!}$

Simplify $\displaystyle\frac{(n+1)!}{(n-1)!\,3!}$

Evaluate $\displaystyle\frac{6!}{4!\,2!}+\frac{5!}{3!\,2!}$

Simplify $\frac{10!}{7!\,3!}$

Compute $\frac{8!}{6!\,2!}$

Simplify $\frac{4!}{2!}$

Find the value of $\frac{(3! + 2)!}{3!}$

Simplify the expression $\frac{5!}{3!\,2!}$

Simplify $\displaystyle\frac{(n+4)!}{(n-2)!\,6!}$