Multiple choice

How many distinct arrangements are possible of the letters in the word BANANA?

  1. 60

  2. 120

  3. 180

  4. 240
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A Correct answer
Explanation

The word BANANA has 6 letters: B(1), A(3), N(2). The number of arrangements is 6! / (3! * 2!) = 720 / (6 * 2) = 720 / 12 = 60.

AI explanation

The word BANANA has 6 letters in total, with the letter A repeating 3 times and the letter N repeating 2 times. Using the permutation formula for finding distinct arrangements of non-unique items, we calculate 6 factorial divided by the product of 3 factorial and 2 factorial. This evaluates to 720 divided by 6 times 2, which equals 60.

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