Multiple choice

In how many ways can the word 'EQUATION' be arranged so that vowels are always together?

  1. 3020

  2. 720

  3. 2880

  4. 5040

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

Treat the 5 vowels (E, U, A, I, O) as one block. Then we have 4 consonants + 1 vowel block = 5 units to arrange in 5! = 120 ways. Within the vowel block, 5 vowels can be arranged in 5! = 120 ways. Total arrangements = 120 × 120 = 14400. This is not listed in options A-D, so E (None of these) is correct.

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