Finite Math Examples

${}_{9}C_{1}$

Step 1

Evaluate

${}_{9}C_{1}$ using the formula

${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{9!}{(9 - 1)! 1!}$

Step 2

Subtract

$1$ from

$9$ .

$\frac{9!}{(8)! 1!}$

Step 3

Simplify

$\frac{9!}{(8)! 1!}$ .

Tap for more steps...

Step 3.1

Rewrite

$9!$ as

$9 \cdot 8!$ .

$\frac{9 \cdot 8!}{(8)! 1!}$

Step 3.2

Cancel the common factor of

$8!$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$\frac{9 \cdot 8!}{(8)! 1!}$

Step 3.2.2

Rewrite the expression.

$\frac{9}{1!}$

$\frac{9}{1!}$

Step 3.3

Expand

$1!$ to

$1$ .

$\frac{9}{1}$

Step 3.4

Divide

$9$ by

$1$ .

$9$

$9$

${}_{9}C_{1}$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















7

7

8

8

9

9













≤

≤





















4

4

5

5

6

6

/

/

^

^

×

×

>

>

α

α

µ

µ













1

1

2

2

3

3

-

-

+

+

÷

÷

<

<

σ

σ









!

!



,

,

0

0

.

.

%

%



=

=









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