Multiple choice

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

  1. 15120

  2. 60

  3. 7560

  4. 240

  5. 10
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A Correct answer
Explanation

The word ATTENDENT has 9 letters: A(1), T(3), E(2), N(2), D(1). Total arrangements = 9! / (3! * 2! * 2!) = 362880 / (6 * 2 * 2) = 362880 / 24 = 15120.

AI explanation

The word ATTENDENT contains 9 letters, with T appearing twice, E appearing twice, and N appearing twice. Using the formula for permutations with identical items, the arrangements are calculated as 9! divided by (2! multiplied by 2! multiplied by 2!). This evaluates to 362880 divided by 8, resulting in 15120.

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