Finite Math Examples

$\frac{12!}{2! (12 - 2)!}$

Step 1

Subtract

$2$ from

$12$ .

$\frac{12!}{2! (10)!}$

Step 2

Rewrite

$12!$ as

$12 \cdot 11 \cdot 10!$ .

$\frac{12 \cdot 11 \cdot 10!}{2! (10)!}$

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Cancel the common factor of

$10!$ .

Tap for more steps...

Step 3.1.1

Cancel the common factor.

$\frac{12 \cdot 11 \cdot 10!}{2! (10)!}$

Step 3.1.2

Rewrite the expression.

$\frac{12 \cdot 11}{2!}$

Step 3.2

Multiply

$12$ by

$11$ .

$\frac{132}{2!}$

Step 4

Simplify the denominator.

Tap for more steps...

Step 4.1

Expand

$2!$ to

$2 \cdot 1$ .

$\frac{132}{2 \cdot 1}$

Step 4.2

Multiply

$2$ by

$1$ .

$\frac{132}{2}$

Step 5

Divide

$132$ by

$2$ .

$66$