Finite Math Examples

3 C 3

${}_{3}C_{3}$

Step 1

Evaluate

3 C 3

${}_{3}C_{3}$ using the formula

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

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

\frac{3!}{(3 - 3)! 3!}

$\frac{3!}{(3 - 3)! 3!}$

Step 2

Subtract

3

$3$ from

3

$3$ .

\frac{3!}{(0)! 3!}

$\frac{3!}{(0)! 3!}$

Step 3

Simplify

\frac{3!}{(0)! 3!}

$\frac{3!}{(0)! 3!}$ .

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Step 3.1

Cancel the common factor of

3!

$3!$ .

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Step 3.1.1

Cancel the common factor.

$\frac{3!}{(0)! 3!}$

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

$1$ .

$1$

$1$

${}_{3}C_{3}$

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