Question

    In how many ways can the letters of the word

    ‘MEDICAL’ be rearranged so that the vowels never come together?
    A 4330 Correct Answer Incorrect Answer
    B 4340 Correct Answer Incorrect Answer
    C 4350 Correct Answer Incorrect Answer
    D 4320 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total number of letters in the word ‘MEDICAL’ = 7 The word MEDICAL consists of 7 letters in which E, I and A are three vowels. We get MDCL (EIA) keeping EIA together as single entity. Number of ways the letters can be formed when vowels are together = 5! × 3! = 720 Required number of arrangements when vowels are never together = 7! - 720 = 5040 – 720 = 4320

    Practice Next
    More Permutation and combination Questions

    Relevant for Exams:

    Hey, Don't leave. If you have any queries regarding any exam let us know here.

    ask-question