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NDA2021MathematicsPermutation and CombinationActual

How many 4-letter words (with or without meaning) containing two vowels can be constructed using only the letters (without repetition) of the word 'LUCKNOW'?

Options

  1. A240
  2. B200
  3. C150
  4. D120

Correct answer

A. 240

Step-by-step solution

Number of vowels (v, 0)=2 So, Selecting two consonants taking out of 5 in ^5 C₂ ways Number of 4 letter words containing two vowels = ^5 C₂ 4!=240

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