Precalculus Examples

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

Step 1

Rewrite $4!$ as $4 \cdot 3 \cdot 2!$ .

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

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $2!$ .

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Step 2.1.1

Cancel the common factor.

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

Step 2.1.2

Rewrite the expression.

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

Step 2.2

Multiply $4$ by $3$ .

$\frac{12}{2!}$

Step 3

Simplify the denominator.

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Step 3.1

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

$\frac{12}{2 \cdot 1}$

Step 3.2

Multiply $2$ by $1$ .

$\frac{12}{2}$

Step 4

Divide $12$ by $2$ .

$6$