Homework Help: Math

Posted by Samantha on Sunday, October 4, 2009 at 8:27pm.

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 - MathMate, Sunday, October 4, 2009 at 9:18pm
For
ABCDE, it's 5!
AAACDE, it's 6!/3!
AABBCC, it's 6!/(2!2!2!)

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