Multiple choice

In how many different ways can the letters of the word 'DIMINISH' be arranged?

  1. 6720

  2. 6840

  3. 2520

  4. 5040

  5. 5820
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The word DIMINISH has 8 letters with the letter I repeated 3 times. When arranging letters with repetitions, we divide the total factorial by the factorial of repeated letters: 8!/3! = 40320/6 = 6720. Option D (5040) would be the answer if all letters were unique (8! = 40320 is incorrect).

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