šŸ“¢ Too many exams? Donā€™t know which one suits you best? Book Your Free Expert šŸ‘‰ call Now!

    Question

    In how many different ways can the letters of the word

    ā€œINCORPORATIONā€ be arranged so that the vowels comes together?
    A 608400 Correct Answer Incorrect Answer
    B 604800 Correct Answer Incorrect Answer
    C 648000 Correct Answer Incorrect Answer
    D 600840 Correct Answer Incorrect Answer
    E 604080 Correct Answer Incorrect Answer

    Solution

    In the word ā€œINCORPORATIONā€, we treat the vowels IOOAIO as one letter Thus, we have, NCRPRTN (IOOAIO) This has 8(7+1) letters of which R and N occurs 2 times and the rest are different Number of ways arranging these letters = 8!/(2! Ɨ2!) = 10080 Now, 6 vowels in which O occurs 3 times and I occurs 2 times, can be arranged in 6!/(3! Ɨ2!) = 60 āˆ“ Required number of ways = 10080 Ɨ 60 = 604800

    Practice Next
    More Permutation and combination Questions

    Relevant for Exams:

    ask-question