Question

how many permutations are in the letter QUEUE?
It can be as simple as 5! can it?

Answer 1

some others are COMMITTEE and PROPOSITION

Answer 2

QUEUE would have 5! permutations of 5 letters per permutation if all the five letters of queue were different. But, there are 2 Es and 2 Us.

Answer 3

@FunForChu Do some reading here to see how to divide out the repeats.
http://www.regentsprep.org/regents/math/algebra/apr2/LpermRep.htm

Meanwhile,

How many different 5-letter words can be formed from the word APPLE ?

5!/(2!) = 60. There are two repeated letters.