JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Self Evaluation Test - Permutations and Combinatioins

  • question_answer
    Six teachers and sic students have to sit round a circular table such that there is a teacher between any two students. The number of ways I which they can sit is

    A) \[6!\times 6!\]

    B) \[5!\times 6!\]

    C) \[5!\,\times 5!\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] Six students \[{{S}_{1}},{{S}_{2}},...,{{S}_{6}}\] can be arranged round a circular table in 5! ways, among these 6 students there are six vacant places, shown by dots (.) in which six teachers can sit in 6! Ways. Hence, number of arrangement \[=5!\times 6!\]

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