Find the number of distinct arrangements of the 10 letters in REPERTOIRE.Two of the same letter are considered identical (not distinct).

Question

Find the number of distinct arrangements of the 10 letters in REPERTOIRE.Two of the same letter are considered identical (not distinct).
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Solution 1

To solve this problem, we will use the formula for permutations of multiset: n! / (r1! * r2! * ... * rk!), where n is the total number of items, and r1, r2, ..., rk are the numbers of each type of item.

In the word REPERTOIRE, there are 10 letters in total.

  1. There are 3 Rs.
  2. There are 3 Es. 3 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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