Multiple choice

The letters of the word 'ORIGINAL' are arranged in such a manner that the consonants and vowels occur alternatively.The number of different arrangements so obtained is :

  1. $(4)! \times (4)!$
  2. $8!$
  3. $ 2 \times 4! \times 4!$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

ORIGINAL: Vowels (O, I, I, A) = 4, Consonants (R, G, N, L) = 4. Alternating: CVCVCVCV or VCVCVCVC. Case 1: CVCVCVCV. 4! * 4!/2! (for I,I). Case 2: VCVCVCVC. 4!/2! * 4!. Total = 2 * (4! * 4!/2!) = 4! * 4!.

Keep practicing — related questions