Multiple choice

How many words can be formed with the word LUCKNOW, which have all the vowels together?

  1. $2!$
  2. $7!$
  3. $6!$
  4. $6! \times 2!$
  5. $7! \times 2!$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

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