# How do you evaluate 10P8 using a calculator?

How do you evaluate 10P8 using a calculator?
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Step 1
using the definition for $\text{using the definition for}\phantom{\rule{1ex}{0ex}}{\text{}}^{n}P{\text{}}_{r}$
that is $\text{that is}\phantom{\rule{1ex}{0ex}}{\text{}}^{n}P{\text{}}_{r}=\frac{n!}{\left(n-r\right)!}$
where $\text{where}\phantom{\rule{1ex}{0ex}}n!=n\left(n-1\right)\left(n-2\right)\left(n-3\right)........×1$
Step 2
$⇒{\text{}}^{10}P{\text{}}_{8}=\frac{10!}{\left(10-8\right)!}=\frac{10!}{2!}←\phantom{\rule{1ex}{0ex}}\text{cancel}\phantom{\rule{1ex}{0ex}}2!$
$=10×9×8×7×6×5×4×3$
$=1814400$