Evaluate 10 choose 0

${}_{10}C_{0}$

Evaluate ${}_{10}C_{0}$ using the formula ${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{10!}{(10 + 0)! 0!}$

Add $10$ and $0$ .

$\frac{10!}{(10)! 0!}$

Simplify $\frac{10!}{(10)! 0!}$ .

Cancel the common factor of $10!$ .

Cancel the common factor.

$\frac{10!}{(10)! 0!}$

Rewrite the expression.

$\frac{1}{0!}$

Expand $0!$ to $1$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$