📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    In how many different ways can the letters of the word

    'COMPUTER' be arranged in such a way that the vowels always come together?
    A 5150 Correct Answer Incorrect Answer
    B 4320 Correct Answer Incorrect Answer
    C 5040 Correct Answer Incorrect Answer
    D 4520 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The word 'COMPUTER' has 8 different letters. When the vowels OUE are always together, they can be supposed to form one letter. Then, we have to arrange the letters CMPTR (OUE). Now, 6 (5 + 1 = 6) letters can be arranged in 6! = 720 ways. The vowels (OUE) can be arranged among themselves in 3! = 6 ways. Required number of ways = (720 x 6) = 4320

    Practice Next
    More Mathematical operation Questions

    Relevant for Exams:

    ask-question