Multiple choice

In how many different ways can the letter of the word TOTAL be arranged?

  1. $120$
  2. $60$
  3. $72$
  4. $48$

  5. None of these
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B Correct answer
Explanation

The word TOTAL has 5 letters with T appearing twice. The number of arrangements is 5! / 2! = 120 / 2 = 60.

AI explanation

The word TOTAL contains 5 letters, with the letter T repeated twice. The formula for permutations of a multiset is the factorial of the total number of items divided by the factorial of the repetitions. Therefore, the number of distinct arrangements is 5 factorial divided by 2 factorial, which equals 120 divided by 2, or 60.

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