Finite Math Examples

4 C 4

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

Step 1

Evaluate

4 C 4

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

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

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

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

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

Step 2

Subtract

4

$4$ from

4

$4$ .

\frac{4!}{(0)! 4!}

$\frac{4!}{(0)! 4!}$

Step 3

Simplify

\frac{4!}{(0)! 4!}

$\frac{4!}{(0)! 4!}$ .

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Step 3.1

Cancel the common factor of

4!

$4!$ .

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Step 3.1.1

Cancel the common factor.

$\frac{4!}{(0)! 4!}$

Step 3.1.2

Rewrite the expression.

$\frac{1}{(0)!}$

$\frac{1}{(0)!}$

Step 3.2

Expand

$(0)!$ to

$1$ .

$\frac{1}{1}$

Step 3.3

Divide

$1$ by

$1$ .

$1$

$1$

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

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