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

  • question_answer
    In a 12 -storey house ten people enter a lift cabin. It is known that they will left in groups of 2,3 and 5 people at different storeys. The number of ways they can do so if the left does not stop to the second storey is

    A) 78

    B) 112

    C) 720

    D) 132  

    Correct Answer: C

    Solution :

    [c] Leaving the ground floors and second floor there are 10 floors in which three groups of people can left the lift cabin in \[^{10}{{P}_{3}}\] ways, i.e. 720 ways.

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