Finite Math Examples

${}_{20}C_{20}$

Step 1

Evaluate ${}_{20}C_{20}$ using the formula ${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{20!}{(20 - 20)! 20!}$

Step 2

Subtract $20$ from $20$ .

$\frac{20!}{(0)! 20!}$

Step 3

Simplify $\frac{20!}{(0)! 20!}$ .

Tap for more steps...

Step 3.1

Cancel the common factor of $20!$ .

Tap for more steps...

Step 3.1.1

Cancel the common factor.

$\frac{20!}{(0)! 20!}$

Step 3.1.2

Rewrite the expression.

$\frac{1}{(0)!}$

Step 3.2

Expand $(0)!$ to $1$ .

$\frac{1}{1}$

Step 3.3

Divide $1$ by $1$ .

$1$