Finite Math Examples

$\frac{6!}{(6 - 2)! \cdot 2!}$

Step 1

Subtract $2$ from $6$ .

$\frac{6!}{(4)! \cdot 2!}$

Step 2

Rewrite $6!$ as $6 \cdot 5 \cdot 4!$ .

$\frac{6 \cdot 5 \cdot 4!}{(4)! \cdot 2!}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of $4!$ .

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Step 3.1.1

Cancel the common factor.

$\frac{6 \cdot 5 \cdot 4!}{(4)! \cdot 2!}$

Step 3.1.2

Rewrite the expression.

$\frac{6 \cdot 5}{2!}$

Step 3.2

Multiply $6$ by $5$ .

$\frac{30}{2!}$

Step 4

Simplify the denominator.

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Step 4.1

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

$\frac{30}{2 \cdot 1}$

Step 4.2

Multiply $2$ by $1$ .

$\frac{30}{2}$

Step 5

Divide $30$ by $2$ .

$15$