Engineering Board Exam Reviewer · Permutations · hard

In how many distinct ways can the letters of the word "STATISTICS" be arranged?

  1. 50,400
  2. 25,200
  3. 100,800
  4. 3,628,800

Answer

A. 50,400

Solution

The word has 10 letters with S repeated 3 times, T repeated 3 times, and I repeated 2 times: 10!/3!,3!,2!= 3,628,80072=50,400.

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