JEE Main & Advanced AIEEE Solved Paper-2009

  • question_answer
    From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is     AIEEE  Solved  Paper-2009

    A) less than 500

    B) at least 500 but less than 750

    C) at least 750 but less than 1000

    D) at least 1000

    Correct Answer: D

    Solution :

    \[{{N}_{1}}{{N}_{2}}{{N}_{3}}{{N}_{6}},{{D}_{1}}{{D}_{2}}{{D}_{3}}\] The number of ways\[=6{{c}_{4}}\times 3{{c}_{1}}\times 24\] \[=15\times 3\times 24=1080\]


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