New Click here to Enroll for SIDBI MSME Expert Classes by Experts

    Register

    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

    Relevant for Exams: