CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    The number of ways in which 5 boys and 3 girls be seated in a row so that each girl is between two boys, is:

    A)  2880                                     

    B)                         1880

    C)                         3800                                     

    D)                         2800

    E)                         2000

    Correct Answer: A

    Solution :

    The number of ways in which 5 boys can be seated\[=5!=120\]ways Now, girls can be seated only on four seats i.e., \[{{B}_{1}}\text{*}{{B}_{2}}*{{B}_{3}}*{{B}_{4}}*{{B}_{5}}\] \[\therefore \]Number of ways in which 3 girls can be seated                 \[{{=}^{4}}{{P}_{3}}=24\] \[\therefore \] Total number of ways\[=120\times 24\] \[=2880\]


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