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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2021 · Mathematics · Permutation and Combination

How many 4-letter words (with or without meaning) containing two...

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(v, 0)=2 So, Selecting two consonants taking out of 5 in 5C2{ }^5 C_2 ways ∴\therefore Number of 4 letter words containing two vowels =5C2×4!=240={ }^5 C_2 \times 4!=240
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