Finite Math Examples

${}_{8}P_{1}$

Step 1

Evaluate ${}_{8}P_{1}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{8!}{(8 - 1)!}$

Step 2

Subtract $1$ from $8$ .

$\frac{8!}{(7)!}$

Step 3

Simplify $\frac{8!}{(7)!}$ .

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Step 3.1

Rewrite $8!$ as $8 \cdot 7!$ .

$\frac{8 \cdot 7!}{(7)!}$

Step 3.2

Cancel the common factor of $7!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{8 \cdot 7!}{(7)!}$

Step 3.2.2

Divide $8$ by $1$ .

$8$