Basic Math Examples

\frac{9!}{5! 4!}

$\frac{9!}{5! 4!}$

Step 1

Rewrite

9!

$9!$ as

9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!

$9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!$ .

\frac{9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!}{5! 4!}

$\frac{9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!}{5! 4!}$

Step 2

Cancel the common factor of

5!

$5!$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!}{5! 4!}$

Step 2.2

Rewrite the expression.

$\frac{9 \cdot 8 \cdot 7 \cdot 6}{4!}$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Multiply

$9$ by

$8$ .

$\frac{72 \cdot 7 \cdot 6}{4!}$

Step 3.2

Multiply

$72$ by

$7$ .

$\frac{504 \cdot 6}{4!}$

Step 3.3

Multiply

$504$ by

$6$ .

$\frac{3024}{4!}$

Step 4

Simplify the denominator.

Tap for more steps...

Step 4.1

Expand

$4!$ to

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

$\frac{3024}{4 \cdot 3 \cdot 2 \cdot 1}$

Step 4.2

Multiply

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

Tap for more steps...

Step 4.2.1

Multiply

$4$ by

$3$ .

$\frac{3024}{12 \cdot 2 \cdot 1}$

Step 4.2.2

Multiply

$12$ by

$2$ .

$\frac{3024}{24 \cdot 1}$

Step 4.2.3

Multiply

$24$ by

$1$ .

$\frac{3024}{24}$

Step 5

Divide

$3024$ by

$24$ .

$126$

$\frac{9!}{5! 4!}$

(

)

[

]

√



≥















≤





































