Multiple choice

In how many different ways can the letters of the word ‘DETERMINE’ be arranged?

  1. 90720

  2. 72576

  3. 60480

  4. 181440

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

The word DETERMINE has 9 letters with E appearing 3 times. Total arrangements = 9!/3! = 362880/6 = 60480. Divide by 3! because the three E's are identical and can be rearranged among themselves without creating a new arrangement.

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