Math
posted by Samantha .
In how many ways can the word INITIAL be arranged?
I know that if all the letters were different (aka ABCDEFG) then the answer would be 7!, and I think if two of the letters were the same (aka AABCDEF) then the answer for be 7!/2! (or maybe 7!/2?), but I'm not sure what the answer would be be for three letters being the same (aka AAABCDE or IIINTAL)

For
ABCDE, it's 5!
AAACDE, it's 6!/3!
AABBCC, it's 6!/(2!2!2!)