# How do you evaluate 100P5 using a calculator?

Jun 27, 2017

It all depends on what calculator you have got.

${\textcolor{w h i t e}{}}^{100} {P}_{5} = 9034502400$

#### Explanation:

Assumption: This is meant to be permutation $\to {\textcolor{w h i t e}{}}^{100} {P}_{5}$

Using:" "(n!)/((n-r)!)

(100xx99xx98xx97xx96xxcancel(95!))/(cancel(95!))

$= 9034502400$
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$\textcolor{b l u e}{\text{Foot note}}$

Permutation is a higher count than that for combinations.

Permutation $\to$ the order matters: ab is not the same as ba.

Combination $\to$ the order does not matter: ab is considered the same as ba

The expression for combinations is  color(white)()^nC_r ->(n!)/((n-r)!r!)