Basic Math Examples

\frac{14!}{(14 - 4)! 4!}

$\frac{14!}{(14 - 4)! 4!}$

Step 1

Subtract

4

$4$ from

14

$14$ .

\frac{14!}{(10)! 4!}

$\frac{14!}{(10)! 4!}$

Step 2

Rewrite

14!

$14!$ as

14 \cdot 13 \cdot 12 \cdot 11 \cdot 10!

$14 \cdot 13 \cdot 12 \cdot 11 \cdot 10!$ .

\frac{14 \cdot 13 \cdot 12 \cdot 11 \cdot 10!}{(10)! 4!}

$\frac{14 \cdot 13 \cdot 12 \cdot 11 \cdot 10!}{(10)! 4!}$

Step 3

Cancel the common factor of

10!

$10!$ .

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Step 3.1

Cancel the common factor.

$\frac{14 \cdot 13 \cdot 12 \cdot 11 \cdot 10!}{(10)! 4!}$

Step 3.2

Rewrite the expression.

$\frac{14 \cdot 13 \cdot 12 \cdot 11}{4!}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

$14$ by

$13$ .

$\frac{182 \cdot 12 \cdot 11}{4!}$

Step 4.2

Multiply

$182$ by

$12$ .

$\frac{2184 \cdot 11}{4!}$

Step 4.3

Multiply

$2184$ by

$11$ .

$\frac{24024}{4!}$

Step 5

Simplify the denominator.

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Step 5.1

Expand

$4!$ to

$4 \cdot 3 \cdot 2 \cdot 1$ .

$\frac{24024}{4 \cdot 3 \cdot 2 \cdot 1}$

Step 5.2

Multiply

$4 \cdot 3 \cdot 2 \cdot 1$ .

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Step 5.2.1

Multiply

$4$ by

$3$ .

$\frac{24024}{12 \cdot 2 \cdot 1}$

Step 5.2.2

Multiply

$12$ by

$2$ .

$\frac{24024}{24 \cdot 1}$

Step 5.2.3

Multiply

$24$ by

$1$ .

$\frac{24024}{24}$

Step 6

Divide

$24024$ by

$24$ .

$1001$