How many unique ways are there to arrange the letters in the word HATTER?
I can't wrap my head around the math to find the answer. I know that if they were all different letters the answer would be 6!. However, I know that these T's are going to overlap, so it won't be that.
I am trying to give myself examples like AAA, it can only be written once but if it was 3 different letters it would be 6 times instead. Somehow I need to get a 6/6, so that it can become 1.
If I try it with AAC, half of the permutations disappear. So it must be divided by 2 I guess. 6/2.
- ABC AAC 1
- ACB ACA 2
- BCA ACA 2
- BAC AAC 1
- CAB CAA 3
- CBA CAA 3
I kind of see a pattern here. Possible combinations if all letters were different factorial / Divide by the number of equal letters factorial, but still I am confused.
Explanation is appreciated.
The answer is 360.