Finite Math Examples

${}_{10}P_{1}$

Step 1

Evaluate ${}_{10}P_{1}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{10!}{(10 - 1)!}$

Step 2

Subtract $1$ from $10$ .

$\frac{10!}{(9)!}$

Step 3

Simplify $\frac{10!}{(9)!}$ .

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Step 3.1

Rewrite $10!$ as $10 \cdot 9!$ .

$\frac{10 \cdot 9!}{(9)!}$

Step 3.2

Cancel the common factor of $9!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{10 \cdot 9!}{(9)!}$

Step 3.2.2

Divide $10$ by $1$ .

$10$