Finite Math Examples

${}_{6}P_{1}$

Step 1

Evaluate

${}_{6}P_{1}$ using the formula

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

$\frac{6!}{(6 - 1)!}$

Step 2

Subtract

$1$ from

$6$ .

$\frac{6!}{(5)!}$

Step 3

Simplify

$\frac{6!}{(5)!}$ .

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Step 3.1

Rewrite

$6!$ as

$6 \cdot 5!$ .

$\frac{6 \cdot 5!}{(5)!}$

Step 3.2

Cancel the common factor of

$5!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{6 \cdot 5!}{(5)!}$

Step 3.2.2

Divide

$6$ by

$1$ .

$6$

$6$

$6$

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