Multiple choice

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

  1. 720

  2. 1440

  3. 3360

  4. 5040

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

The word AZADBABU has 8 letters with repetitions: A appears 3 times and B appears 2 times. The formula for permutations of a multiset is n!/(n1! × n2! × ...), where n is total items and n1, n2, etc. are counts of each repeated item. Here: 8!/(3! × 2!) = 40320/(6 × 2) = 40320/12 = 3360 unique arrangements.

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