Finite Math Examples

7 C 6

${}_{7}C_{6}$

Step 1

Evaluate

7 C 6

${}_{7}C_{6}$ using the formula

n C r = \frac{n!}{(n - r)! r!}

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

\frac{7!}{(7 - 6)! 6!}

$\frac{7!}{(7 - 6)! 6!}$

Step 2

Subtract

6

$6$ from

7

$7$ .

\frac{7!}{(1)! 6!}

$\frac{7!}{(1)! 6!}$

Step 3

Simplify

\frac{7!}{(1)! 6!}

$\frac{7!}{(1)! 6!}$ .

Tap for more steps...

Step 3.1

Rewrite

7!

$7!$ as

7 \cdot 6!

$7 \cdot 6!$ .

\frac{7 \cdot 6!}{(1)! 6!}

$\frac{7 \cdot 6!}{(1)! 6!}$

Step 3.2

Cancel the common factor of

6!

$6!$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$\frac{7 \cdot 6!}{(1)! 6!}$

Step 3.2.2

Rewrite the expression.

$\frac{7}{(1)!}$

$\frac{7}{(1)!}$

Step 3.3

Expand

$(1)!$ to

$1$ .

$\frac{7}{1}$

Step 3.4

Divide

$7$ by

$1$ .

$7$

$7$

${}_{7}C_{6}$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















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

.

.

%

%



=

=









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