Statistics Examples

${}_{6}P_{2}$

Step 1

Evaluate ${}_{6}P_{2}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{6!}{(6 - 2)!}$

Step 2

Subtract $2$ from $6$ .

$\frac{6!}{(4)!}$

Step 3

Simplify $\frac{6!}{(4)!}$ .

Tap for more steps...

Step 3.1

Rewrite $6!$ as $6 \cdot 5 \cdot 4!$ .

$\frac{6 \cdot 5 \cdot 4!}{(4)!}$

Step 3.2

Cancel the common factor of $4!$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$\frac{6 \cdot 5 \cdot 4!}{(4)!}$

Step 3.2.2

Divide $6 \cdot 5$ by $1$ .

$6 \cdot 5$

Step 3.3

Multiply $6$ by $5$ .

$30$

Enter YOUR Problem