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JEE Main 2022 · Mathematics · Permutations and Combinations · easy

The number of distinct arrangements of all the letters of the word LEVEL is

Single correct option

The number of distinct arrangements of all the letters of the word LEVEL is
  1. A. 1515
  2. B. 6060
  3. C. 3030
  4. D. 120120
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Answer: (C) 3030

LEVEL has 5 letters in which L occurs twice and E occurs twice, V once. Number of arrangements =5!2! 2!=1204=30=\frac{5!}{2!\,2!}=\frac{120}{4}=30. Dividing by only one factorial gives 60, and ignoring repetition gives 120.
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Original question written in the JEE Main 2022 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake