CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    5 boys and 5 girls are sitting in a row randomly. The probability that boys and girls sit alternatively is:

    A)  \[\frac{5}{126}\]                             

    B)         \[\frac{1}{42}\]

    C)  \[\frac{4}{126}\]                             

    D)         \[\frac{6}{126}\]

    E)  \[\frac{1}{63}\]

    Correct Answer: B

    Solution :

    Total number of ways\[=10!\] Total number of ways in which 5 boys and 5 girls are sitting in a row randomly \[=5!\,\times 6!\] \[\therefore \] Required probability\[=\frac{5!\,\times 6!}{10!}=\frac{1}{42}\]


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