Multiple choice

In how many different ways can the word PERCUSSION be arranged such that the first and the last words are never the same?

  1. 1814400

  2. 20160

  3. 3628800

  4. 1794240

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

The word PERCUSSION has 10 letters with S repeated twice, giving total arrangements of 10!/2! = 1814400. The identical first and last letters can be S and S, making the number of such arrangements 8! = 40320. Subtracting the identical arrangements from the total gives 1814400 - 40320 = 1794240.

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