Multiple choice

In how many different ways can the letters of the word 'BALLOONS' be arranged? A. 40320 B. 10080 C. 20160 D. 2520 E. None

  1. A

  2. B

  3. C

  4. D

  5. E
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The word 'BALLOONS' has 8 letters: B, A, L, L, O, O, N, S. L and O repeat twice. Total arrangements = 8! / (2! * 2!) = 40320 / 4 = 10080.

AI explanation

The word BALLOONS contains 8 total letters with repetitions of L and O occurring twice each. Using the permutation formula for non-distinct items, we calculate the arrangements as 8! / (2! x 2!) = 40320 / 4 = 10080. The total number of arrangements is 10080.

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