Find the Number of Possibilities 16 permute 3

${}_{16}P_{3}$

Evaluate ${}_{16}P_{3}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{16!}{(16 - 3)!}$

Subtract $3$ from $16$ .

$\frac{16!}{(13)!}$

Simplify $\frac{16!}{(13)!}$ .

Tap for more steps…

Rewrite $16!$ as $16 \cdot 15 \cdot 14 \cdot 13!$ .

$\frac{16 \cdot 15 \cdot 14 \cdot 13!}{(13)!}$

Cancel the common factor of $13!$ .

Tap for more steps…

Cancel the common factor.

$\frac{16 \cdot 15 \cdot 14 \cdot 13!}{(13)!}$

Divide $16 \cdot 15 \cdot 14$ by $1$ .

$16 \cdot 15 \cdot 14$

Multiply $16$ by $15$ .

$240 \cdot 14$

Multiply $240$ by $14$ .

$3360$

Find the Number of Possibilities 16 permute 3

Download our
App from the store