Finite Math Examples

${}_{15}P_{1}$

Step 1

Evaluate ${}_{15}P_{1}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{15!}{(15 - 1)!}$

Step 2

Subtract $1$ from $15$ .

$\frac{15!}{(14)!}$

Step 3

Simplify $\frac{15!}{(14)!}$ .

Tap for more steps...

Step 3.1

Rewrite $15!$ as $15 \cdot 14!$ .

$\frac{15 \cdot 14!}{(14)!}$

Step 3.2

Cancel the common factor of $14!$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$\frac{15 \cdot 14!}{(14)!}$

Step 3.2.2

Divide $15$ by $1$ .

$15$