Finite Math Examples

4 C 1

${}_{4}C_{1}$

Step 1

Evaluate

4 C 1

${}_{4}C_{1}$ using the formula

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

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

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

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

Step 2

Subtract

1

$1$ from

4

$4$ .

\frac{4!}{(3)! 1!}

$\frac{4!}{(3)! 1!}$

Step 3

Simplify

\frac{4!}{(3)! 1!}

$\frac{4!}{(3)! 1!}$ .

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Step 3.1

Rewrite

4!

$4!$ as

4 \cdot 3!

$4 \cdot 3!$ .

\frac{4 \cdot 3!}{(3)! 1!}

$\frac{4 \cdot 3!}{(3)! 1!}$

Step 3.2

Cancel the common factor of

3!

$3!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{4 \cdot 3!}{(3)! 1!}$

Step 3.2.2

Rewrite the expression.

$\frac{4}{1!}$

$\frac{4}{1!}$

Step 3.3

Expand

$1!$ to

$1$ .

$\frac{4}{1}$

Step 3.4

Divide

$4$ by

$1$ .

$4$

$4$

${}_{4}C_{1}$

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