Finite Math Examples

5 C 4

${}_{5}C_{4}$

Step 1

Evaluate

5 C 4

${}_{5}C_{4}$ using the formula

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

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

\frac{5!}{(5 - 4)! 4!}

$\frac{5!}{(5 - 4)! 4!}$

Step 2

Subtract

4

$4$ from

5

$5$ .

\frac{5!}{(1)! 4!}

$\frac{5!}{(1)! 4!}$

Step 3

Simplify

\frac{5!}{(1)! 4!}

$\frac{5!}{(1)! 4!}$ .

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Step 3.1

Rewrite

5!

$5!$ as

5 \cdot 4!

$5 \cdot 4!$ .

\frac{5 \cdot 4!}{(1)! 4!}

$\frac{5 \cdot 4!}{(1)! 4!}$

Step 3.2

Cancel the common factor of

4!

$4!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{5 \cdot 4!}{(1)! 4!}$

Step 3.2.2

Rewrite the expression.

$\frac{5}{(1)!}$

$\frac{5}{(1)!}$

Step 3.3

Expand

$(1)!$ to

$1$ .

$\frac{5}{1}$

Step 3.4

Divide

$5$ by

$1$ .

$5$

$5$

Enter a problem...

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