How many distinct 5-letter permutations can be formed using the letters of the word LEVEL?

Answer and explanation

Correct answer: B. 30, accounting for two identical Ls and two identical Es

  1. Step 1: Total letters . The letter L appears 2 times, and the letter E appears 2 times; V appears once. Step 2. The number of distinct permutations is given by the multinomial coefficient: . Answer: 30, accounting for two identical Ls and two identical Es. Why not the others: 60 divides by only one ; 120 is without dividing by repeated letters; 20 makes an arithmetic error.

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