Evaluate 12 choose 0

${}_{12}C_{0}$

Step 1

Evaluate ${}_{12}C_{0}$ using the formula ${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{12!}{(12 + 0)! 0!}$

Step 2

Add $12$ and $0$ .

$\frac{12!}{(12)! 0!}$

Step 3

Simplify $\frac{12!}{(12)! 0!}$ .

Cancel the common factor of $12!$ .

Cancel the common factor.

$\frac{12!}{(12)! 0!}$

Rewrite the expression.

$\frac{1}{0!}$

Expand $0!$ to $1$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$