📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      How many arrangements are possible from the letters of

      “ADMINISTRATION” without disturbing the relative order of vowels and consonants?
      A 420420 Correct Answer Incorrect Answer
      B 530240 Correct Answer Incorrect Answer
      C 604800 Correct Answer Incorrect Answer
      D 730864 Correct Answer Incorrect Answer

      Solution

      ATQ, The word contains 6 vowels and 8 consonants. Now, 8 consonants can be arranged among themselves in 8!/(2! × 2!) ways And, 6 vowels can be arranged in 6!/(3! × 2!) ways So, required number of ways = 6!/(3! × 2!) × 8!/(2! × 2!) = 604800

      Practice Next
      More Permutation and combination Questions

      Relevant for Exams:

      ask-question