Multiple choice

In how many different ways can the letters of the word 'MISTAKE' be arranged in such a way that the vowels always come together?

  1. 1440

  2. 720

  3. 360

  4. 540

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The word MISTAKE has 7 letters with 3 vowels (I, A, E) and 4 consonants. Treating the 3 vowels as one block, we have 5 items to arrange (4 consonants + 1 vowel block). These can be arranged in 5! = 120 ways. Within the vowel block, the 3 vowels can be arranged in 3! = 6 ways. Total arrangements = 120 × 6 = 720. Option B is correct.

Keep practicing — related questions