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What is the total number of different 13 -letter arrangements that can be formed using the letters in the word POSSIBILITIES? Answer:

What is the total number of different 1313 -letter arrangements that can be formed using the letters in the word POSSIBILITIES?\newlineAnswer:

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Full solution

Q. What is the total number of different 1313 -letter arrangements that can be formed using the letters in the word POSSIBILITIES?\newlineAnswer:
  1. Determine Letters Frequency: Determine the total number of letters and the frequency of each letter in the word ＂POSSIBILITIES＂.
  2. Calculate Permutations Formula: Use the formula for permutations of a multiset to calculate the number of different arrangements.
  3. Apply Formula to Word: Apply the formula to the word ＂POSSIBILITIES＂.
  4. Calculate Factorials and Result: Calculate the factorial values and the final result.

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