Question

How many words with or without dictionary meaning can be formed using all the letters of the word 'JOULE' using each letter exactly once?

Answer 1

$JOULE$

5$⟶$ letters

$n=5r=5$

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

${\Rightarrow }^5{P}_5=\frac{5!}{(5-5)!}$
$\Rightarrow \frac{5!}{0!}$
$\Rightarrow 5!$
$\Rightarrow 120$

Hence $120$ possible words can be formed.