Finite Math Examples

8 P 5

${}_{8}P_{5}$

Step 1

Evaluate

8 P 5

${}_{8}P_{5}$ using the formula

n P r = \frac{n!}{(n - r)!}

${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

\frac{8!}{(8 - 5)!}

$\frac{8!}{(8 - 5)!}$

Step 2

Subtract

5

$5$ from

8

$8$ .

\frac{8!}{(3)!}

$\frac{8!}{(3)!}$

Step 3

Simplify

\frac{8!}{(3)!}

$\frac{8!}{(3)!}$ .

Tap for more steps...

Step 3.1

Rewrite

8!

$8!$ as

8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!

$8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!$ .

\frac{8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!}{(3)!}

$\frac{8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!}{(3)!}$

Step 3.2

Cancel the common factor of

3!

$3!$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$\frac{8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!}{(3)!}$

Step 3.2.2

Divide

$8 \cdot 7 \cdot 6 \cdot 5 \cdot 4$ by

$1$ .

$8 \cdot 7 \cdot 6 \cdot 5 \cdot 4$

Step 3.3

Multiply

$8 \cdot 7 \cdot 6 \cdot 5 \cdot 4$ .

Tap for more steps...

Step 3.3.1

Multiply

$8$ by

$7$ .

$56 \cdot 6 \cdot 5 \cdot 4$

Step 3.3.2

Multiply

$56$ by

$6$ .

$336 \cdot 5 \cdot 4$

Step 3.3.3

Multiply

$336$ by

$5$ .

$1680 \cdot 4$

Step 3.3.4

Multiply

$1680$ by

$4$ .

$6720$

${}_{8}P_{5}$

(

)

[

]

√



≥

















≤































