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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)

  • Math -

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

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