Multiple choice

In how many different ways can the letter of the word ‘COFFEE’ be arranged so that vowels never come together?

  1. 36

  2. 180

  3. 144

  4. 720

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

Total arrangements of COFFEE = 6!/(2! × 2!) = 180 (two F's, two E's). Treat vowels (O, E, E) as one unit: arrangements = 4! × 3!/(2!) = 72. Vowels never together = 180 - 72 = 144. Option C is correct. Options A, B, D are miscalculations using wrong factorial formulas.

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