Multiple choice

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

  1. 5040

  2. 720

  3. 2520

  4. 360

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The word 'OPERATE' has 7 distinct letters, so we can arrange them in 7! = 5040 ways. However, the word has the letter E appearing twice. Since identical letters don't create distinct arrangements when swapped, we divide by 2! to account for this repetition. Therefore, the total number of distinct arrangements is 7!/2! = 5040/2 = 2520.

Keep practicing — related questions