Multiple choice

How many ways letter of the word EQUATION can be arranged, such that vowels sit together.

  1. 2880

  2. 1440

  3. 720

  4. 360
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

EQUATION has 8 letters: 5 vowels (E, U, A, I, O) and 3 consonants (Q, T, N). Treat the 5 vowels as one block. We have 4 items to arrange (the block + 3 consonants), which is 4! = 24 ways. The 5 vowels can be arranged within the block in 5! = 120 ways. Total = 24 * 120 = 2880.

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