We a homework question that asks us to find the 3 letter arrangement of the word "Silly". Here is the exact question.
How many three-letter arrangements are there of the letters taken from the word SILLY?
What I did was do $5P3/2!$ and I ended up getting 30. The answer is 33. What am I doing wrong?
EDIT:
I have just realized, should I be adding back 3 because of a permutation that does have the LL's in it?