Multiple choice

In how many different ways can the letters in the word "LEVEL" be arranged?

  1. $30$
  2. $50$
  3. $32$
  4. $25$
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A Correct answer
Explanation

The word LEVEL has 5 letters with L appearing twice and E appearing twice. The number of arrangements is 5! / (2! * 2!) = 120 / 4 = 30.

AI explanation

The word LEVEL has 5 letters where L repeats 2 times and E repeats 2 times. The formula for permutations with repetition is n! divided by the factorial of the frequencies of identical items. The calculation is 5! divided by (2! times 2!), which is 120 divided by 4, resulting in 30.