How many different arrangements of the letters in the word \"PURPLE\" are there?
Use factorial for these kind of problems.
So if you had 6 distinct letters, then you would have 6! = 65432*1 =
720 different ways to arrange them however,
you have two copies of P that are indistinguishable, so we double
counted when we got 720, which is why we must divide by 2 to get 720/2 =
360