Multiple Choice Questions on How many arrangement can be made from the word COMMERCE such that all the vowels do not come togethe........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

How many arrangement can be made from the word COMMERCE such that all the vowels do not come togethe...........

Quantitative Aptitude ( CCS) Permutation & Combination
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    How many arrangement can be made from the word COMMERCE, such that all the vowels do not come together ?

     

    6800
     

    Incorrect Answer

    5600
     

    Incorrect Answer

    1080
     

    Incorrect Answer

    9000

    Correct Answer
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    Explanation:

    8 letters = 8!/ 2! 2! = 40320/4 = 10080
    6 letters = 6!/2! = 360
    Vowels = 3!/2! =  3
    No of ways vowels together = 360*3 = 1080
    No of ways vowels not together = 10080 – 1080 = 9000

    By: Sandeep Dubey
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