Multiple choice

In how many ways word ‘TROUBLE’ can be arranged so that vowels always come together?

  1. 120

  2. 90

  3. 720

  4. 360

  5. 240
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

TROUBLE has 7 letters with vowels O, U, E (3 vowels) and consonants T, R, B, L (4 consonants). Treat vowels as one block: [OUE] T R B L. This gives 5! = 120 arrangements of blocks. Within the vowel block, 3 vowels can be arranged in 3! = 6 ways. Total = 120 × 6 = 720.

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