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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of combinations, Conditional combinations, Division into groups, Derangements

  • question_answer
    There are 9 chairs in a room on which 6 persons are to be seated, out of which one is guest with one specific chair. In how many ways they can sit [MP PET 1987]

    A) 6720

    B) 60480

    C) 30

    D) 346

    Correct Answer: A

    Solution :

    5 persons are to be seated on 8 chairs \[i.e.\]\[^{8}{{C}_{3}}\times 5\ !\] or 6720. {Since 5 chairs can be select in \[^{8}{{C}_{5}}\] and then 5 persons can be arranged in \[5\ !\] ways}.


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