Multiple choice

Find the total number of words formed by letters of the word "LUCKNOW" so that all vowels comes together.

  1. 720

  2. 360

  3. 2880

  4. 1440

  5. None of these
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D Correct answer
Explanation

LUCKNOW has 7 letters with 2 vowels (U, O) and 5 consonants. Treat vowels as one unit: we have 6 units (5 consonants + 1 vowel group). These can be arranged in 6! = 720 ways. Within the vowel group, U and O can be arranged in 2! = 2 ways. Total = 720 × 2 = 1440.

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