Number of unique arrangements, with 13 letter word 'statistically'

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SUMMARY

The discussion focuses on calculating the number of unique arrangements of the letters in the word "statistically," which contains 13 letters. The correct formula for this calculation is 13! / (3! * 2! * 2! * 2! * 2!), accounting for the repeated letters in the word. This formula yields the total number of distinct permutations of the letters.

PREREQUISITES
  • Understanding of factorial notation and calculations
  • Knowledge of permutations and combinations
  • Familiarity with handling repeated elements in arrangements
  • Basic algebra for simplifying factorial expressions
NEXT STEPS
  • Study the concept of permutations with repetitions in combinatorics
  • Learn about advanced factorial calculations and their applications
  • Explore examples of similar problems involving unique arrangements of letters
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Students in mathematics or statistics, educators teaching combinatorial concepts, and anyone interested in solving problems related to permutations and arrangements of letters.

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Homework Statement



how many different letter arrangements can be obtained from the letters of the word statistically, using all the letters?

Homework Equations





The Attempt at a Solution



[tex]\frac{13!}{3!2!2!2!2!}[/tex]
 
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That looks correct to me.
 


ok cool thank you
 

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