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.

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Step 3.1

Cancel the common factor of $10!$ .

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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.

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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 $2$ .

$66$