xaguax4432 xaguax4432
  • 01-01-2018
  • Mathematics
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How many different 9-letter words (real or imaginary) can be formed from the letters in the word assistant?

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kritter1
kritter1 kritter1
  • 01-01-2018
There are 9! ways in total, however, notice that certain letters repeat themselves. 

For example, a permutation could be assistant but the third s could replace the first it would still be assistant. 

So, 

9!/(3!)(2!)(2!) <-- 3 s's, 2 a's and 2 t's 

Therefore, the total permutations are: 15120

Hope I helped :) 
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