Finite Math Examples

${}_{10}C_{0}$

Step 1

Evaluate

${}_{10}C_{0}$ using the formula

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

$\frac{10!}{(10 + 0)! 0!}$

Step 2

Add

$10$ and

$0$ .

$\frac{10!}{(10)! 0!}$

Step 3

Simplify

$\frac{10!}{(10)! 0!}$ .

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Step 3.1

Cancel the common factor of

$10!$ .

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Step 3.1.1

Cancel the common factor.

$\frac{10!}{(10)! 0!}$

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

$1$ .

$1$

$1$

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