Multiple choice

In how many different ways can the letters of the word (Hope) be arranged so that no two vowels come together?

  1. 4

  2. 12

  3. 1

  4. 3

  5. 16
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

HOPE has 4 letters: 2 consonants (H,P) and 2 vowels (O,E). To keep vowels separate: C_C (3 spaces for 2 consonants = 3 ways). Vowels fill remaining 2 spots: 2! = 2 ways. Total arrangements = 3×2 = 6. But consonants themselves can be arranged in 2! = 2 ways, so 6×2 = 12 total arrangements where vowels don't touch.

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