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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2003

  • question_answer
    The number of words that can be formed out of the letters of the word ARTICLE so that the vowels occupy even places is :

    A)  574                                       

    B)  36

    C)  754                                       

    D)  144

    Correct Answer: D

    Solution :

    Here in given problem, the word ARTICLE has 3 vowels and 4 consonants and according to problem we have to put the 3 vowels on 3 specified places and 4 consonants in the remaining places. Now the first operation can be done in 3 ! ways and the second in 4 ! ways. \[\therefore \] The required number of ways                 \[=3!\,\,\times 4!\]                 \[=6\times 24\]                 \[=144\]


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