# SOLUTION: I am having a problem figuring this out: How many 11-letter words can you make firm MATHEMATICS? I have it this far: 11!/2!*2!*2! Now I know I'm supposed to do this: 11*10*9*

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 Click here to see ALL problems on Probability-and-statistics Question 403729: I am having a problem figuring this out: How many 11-letter words can you make firm MATHEMATICS? I have it this far: 11!/2!*2!*2! Now I know I'm supposed to do this: 11*10*9*8*7*6*5*4*3 (do I stop here or *2 also) since there is a 2 in the denominator And then cancel out one of the 2 and divide by 4? Or do I continue with 11*9*8...*2 and divide by 8? If the later why don't I cancel out one of the 2s on the bottom and the one on top? Thanks for all your help. KimAnswer by sofiyac(695)   (Show Source):