Finite Math Examples

$\frac{11!}{9! \cdot 2!}$

Step 1

Rewrite $11!$ as $11 \cdot 10 \cdot 9!$ .

$\frac{11 \cdot 10 \cdot 9!}{9! \cdot 2!}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $9!$ .

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Step 2.1.1

Cancel the common factor.

$\frac{11 \cdot 10 \cdot 9!}{9! \cdot 2!}$

Step 2.1.2

Rewrite the expression.

$\frac{11 \cdot 10}{2!}$

Step 2.2

Multiply $11$ by $10$ .

$\frac{110}{2!}$

Step 3

Simplify the denominator.

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Step 3.1

Expand $2!$ to $2 \cdot 1$ .

$\frac{110}{2 \cdot 1}$

Step 3.2

Multiply $2$ by $1$ .

$\frac{110}{2}$

Step 4

Divide $110$ by $2$ .

$55$