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Examples

\frac{6!}{3!}

$\frac{6!}{3!}$

Step 1

Rewrite

6!

$6!$ as

6 \cdot 5 \cdot 4 \cdot 3!

$6 \cdot 5 \cdot 4 \cdot 3!$ .

\frac{6 \cdot 5 \cdot 4 \cdot 3!}{3!}

$\frac{6 \cdot 5 \cdot 4 \cdot 3!}{3!}$

Step 2

Cancel the common factor of

3!

$3!$ .

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Step 2.1

Cancel the common factor.

\frac{6 \cdot 5 \cdot 4 \cdot 3!}{3!}

$\frac{6 \cdot 5 \cdot 4 \cdot 3!}{3!}$

Step 2.2

Divide

6 \cdot 5 \cdot 4

$6 \cdot 5 \cdot 4$ by

1

$1$ .

6 \cdot 5 \cdot 4

$6 \cdot 5 \cdot 4$

6 \cdot 5 \cdot 4

$6 \cdot 5 \cdot 4$

Step 3

Multiply

6 \cdot 5 \cdot 4

$6 \cdot 5 \cdot 4$ .

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Step 3.1

Multiply

6

$6$ by

5

$5$ .

30 \cdot 4

$30 \cdot 4$

Step 3.2

Multiply

30

$30$ by

4

$4$ .

120

$120$

120

$120$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$