The letters of the word "APPLE" can be arranged in 60 different ways. This is calculated by taking into account that the word has 5 letters where the letter "P" repeats twice. The formula used is:
5!2!=1202=60\frac{5!}{2!}=\frac{120}{2}=602!5!=2120=60
where 5!5!5! is the factorial of the total number of letters (5), and 2!2!2! is the factorial of the number of repeated letters (2 for P).
