Finite Math Examples

${}_{7}P_{1}$

Step 1

Evaluate ${}_{7}P_{1}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{7!}{(7 - 1)!}$

Step 2

Subtract $1$ from $7$ .

$\frac{7!}{(6)!}$

Step 3

Simplify $\frac{7!}{(6)!}$ .

Tap for more steps...

Step 3.1

Rewrite $7!$ as $7 \cdot 6!$ .

$\frac{7 \cdot 6!}{(6)!}$

Step 3.2

Cancel the common factor of $6!$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$\frac{7 \cdot 6!}{(6)!}$

Step 3.2.2

Divide $7$ by $1$ .

$7$