Finite Math Examples

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

Step 1

Evaluate

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

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

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

Step 2

Subtract

$5$ from

$5$ .

$\frac{5!}{(0)! 5!}$

Step 3

Simplify

$\frac{5!}{(0)! 5!}$ .

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Step 3.1

Cancel the common factor of

$5!$ .

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Step 3.1.1

Cancel the common factor.

$\frac{5!}{(0)! 5!}$

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

$1$ .

$1$

$1$

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

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