Multiple choice

In how many different ways letters of the word “EDUCATION” can be arranged such that all the consonants come together.

  1. 18720

  2. 18270

  3. 17280

  4. 12780

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

Treat the 4 consonants (D, C, T, N) as one block. Arrange 6 items (5 vowels + 1 consonant block) in 6! = 720 ways. Within the consonant block, arrange the 4 consonants in 4! = 24 ways. Total = 720 × 24 = 17280. Option C is correct.

Keep practicing — related questions