Finite Math Examples

$\frac{5!}{2! \cdot 3!}$

Step 1

Rewrite $5!$ as $5 \cdot 4 \cdot 3!$ .

$\frac{5 \cdot 4 \cdot 3!}{2! \cdot 3!}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $3!$ .

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Step 2.1.1

Cancel the common factor.

$\frac{5 \cdot 4 \cdot 3!}{2! \cdot 3!}$

Step 2.1.2

Rewrite the expression.

$\frac{5 \cdot 4}{2!}$

Step 2.2

Multiply $5$ by $4$ .

$\frac{20}{2!}$

Step 3

Simplify the denominator.

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Step 3.1

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

$\frac{20}{2 \cdot 1}$

Step 3.2

Multiply $2$ by $1$ .

$\frac{20}{2}$

Step 4

Divide $20$ by $2$ .

$10$