Multiple choice

Consider arrangement of letter AABBBCDE. Then the number of words in which all 'B' s are together is

  1. $720$
  2. $360$
  3. $120$
  4. $960$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Treat BBB as one block. The letters are {BBB}, A, A, C, D, E. Total items = 6. Arrangements = 6! / 2! (for the two A's) = 720 / 2 = 360.

AI explanation

To group the three B's together in the arrangement of letters AABBBCDE, treat the block of three B's as a single unit. This gives a total of 6 units to arrange: AA, BBB, C, D, and E. The number of arrangements is 6! divided by 2! to account for the two identical A's, which equals 720 / 2 = 360.

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