How many permutations of the letters of the word ‘APPLE’ are there?

Given: We have 5 letters

To Find: Number of words formed with Letter of the word ‘APPLE.’

The formula used: The number of permutations of $n$ objects, where $p_{1}$ objects are of one kind, $p_{2}$ are of the second kind, ..., $p_{k}$ is of a $k^{\text {th }}$ kind and the rest if any, are of a

different kind is $=\frac{n !}{p_{1} ! p_{2} ! \ldots \ldots \ldots \ldots p_{k} !}$

'APPLE' consists of 5 letters out of which we have 2 Ps.

Using the above formula

Where,

$n=5$

$p_{1}=2$

$\Rightarrow \frac{5 !}{2 !}=60$

There are 60 permutations of the letters of the word ‘APPLE