What is the total number of different 10-letter arrangements that can be formed using the letters
in the word REPARATION?



Answer :

Final answer:

To find the total number of different 10-letter arrangements using the letters in REPARATION, apply the concept of permutations considering repeated letters.


Explanation:

To find the total number of different 10-letter arrangements that can be formed using the letters in the word REPARATION, we need to consider the repeated letters.

  1. Firstly, there are 10! total ways to arrange the letters.
  2. Then, we divide by the repeated letters. In REPARATION, 'R' appears 2 times, 'A' appears 2 times, and 'E' appears 2 times.
  3. Therefore, the total number of different 10-letter arrangements is 10! / (2! 2! 2!).

Learn more about Permutations with repeated letters here:

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