Evaluate 5 choose 0

${}_{5}C_{0}$

Evaluate ${}_{5}C_{0}$ using the formula ${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{5!}{(5 + 0)! 0!}$

Add $5$ and $0$ .

$\frac{5!}{(5)! 0!}$

Simplify $\frac{5!}{(5)! 0!}$ .

Cancel the common factor of $5!$ .

Cancel the common factor.

$\frac{5!}{(5)! 0!}$

Rewrite the expression.

$\frac{1}{0!}$

Expand $0!$ to $1$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$