Finite Math Examples

${}_{4}C_{1}$

Step 1

Evaluate

${}_{4}C_{1}$ using the formula

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

$\frac{4!}{(4 - 1)! 1!}$

Step 2

Subtract

$1$ from

$4$ .

$\frac{4!}{(3)! 1!}$

Step 3

Simplify

$\frac{4!}{(3)! 1!}$ .

Tap for more steps...

Step 3.1

Rewrite

$4!$ as

$4 \cdot 3!$ .

$\frac{4 \cdot 3!}{(3)! 1!}$

Step 3.2

Cancel the common factor of

$3!$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$\frac{4 \cdot 3!}{(3)! 1!}$

Step 3.2.2

Rewrite the expression.

$\frac{4}{1!}$

$\frac{4}{1!}$

Step 3.3

Expand

$1!$ to

$1$ .

$\frac{4}{1}$

Step 3.4

Divide

$4$ by

$1$ .

$4$

$4$

${}_{4}C_{1}$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















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

.

.

%

%



=

=









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