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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of permutation, Number of permutations with or without repetition, Conditional permutations

  • question_answer
    The number of ways in which 5 boys and 3 girls can be seated in a row so that each girl in between two boys [Kerala (Engg.) 2002]

    A) 2880

    B) 1880

    C) 3800

    D) 2800

    Correct Answer: A

    Solution :

    First, we seat 5 boys, which can be done in 5! ways B × B × B × B × B. Three girls can be seated in places marked ?×? in \[^{4}{{P}_{3}}\,\] ways. \  Total ways = \[5!{{.}^{4}}{{P}_{3}}=2880.\]


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