Question

How many permutations of letter of the word APPLE are there?​

Answer 1

Answer:

There are 60 permutations.

Step-by-step explanation:

Arrangements formula:

The number of possible arrangements of n elements is given by:

$A_n = n!$

With repetition:

For each element that repeats, with $n_1, n_2, ..., n_n$ times, the formula is:

$A_n^{n_1,n_2,...,n_n} = \frac{n!}{n_1!n_2!...n_n}$

In this question:

Apple has 5 letters.

P appears two times. So

$A _5^{2} = \frac{5!}{2!} = 60$

There are 60 permutations.