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
- A240
- B200
- C150
- 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