How do you evaluate 10P8 using a calculator?

Jaeden Weaver
2022-05-09
Answered

How do you evaluate 10P8 using a calculator?

You can still ask an expert for help

odvucimo1pp17

Answered 2022-05-10
Author has **23** answers

Step 1

using the definition for $\text{using the definition for}\phantom{\rule{1ex}{0ex}}{\text{}}^{n}P{\text{}}_{r}$

that is $\text{that is}\phantom{\rule{1ex}{0ex}}{\text{}}^{n}P{\text{}}_{r}=\frac{n!}{(n-r)!}$

where $\text{where}\phantom{\rule{1ex}{0ex}}n!=n(n-1)(n-2)(n-3)........\times 1$

Step 2

$\Rightarrow {\text{}}^{10}P{\text{}}_{8}=\frac{10!}{(10-8)!}=\frac{10!}{2!}\leftarrow \phantom{\rule{1ex}{0ex}}\text{cancel}\phantom{\rule{1ex}{0ex}}2!$

$=10\times 9\times 8\times 7\times 6\times 5\times 4\times 3$

$=1814400$

using the definition for $\text{using the definition for}\phantom{\rule{1ex}{0ex}}{\text{}}^{n}P{\text{}}_{r}$

that is $\text{that is}\phantom{\rule{1ex}{0ex}}{\text{}}^{n}P{\text{}}_{r}=\frac{n!}{(n-r)!}$

where $\text{where}\phantom{\rule{1ex}{0ex}}n!=n(n-1)(n-2)(n-3)........\times 1$

Step 2

$\Rightarrow {\text{}}^{10}P{\text{}}_{8}=\frac{10!}{(10-8)!}=\frac{10!}{2!}\leftarrow \phantom{\rule{1ex}{0ex}}\text{cancel}\phantom{\rule{1ex}{0ex}}2!$

$=10\times 9\times 8\times 7\times 6\times 5\times 4\times 3$

$=1814400$

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