JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Critical Thinking Questions

  • question_answer A father with 8 children takes them 3 at a time  to the Zoological gardens, as often as he can without taking the same 3 children together more than once. The number of times each child will go to the garden is

    A) 56

    B) 21

    C) 112

    D) None of these

    Correct Answer: B

    Solution :

    Each child will go as often as he (or she) can be accompanied by two others. Therefore the required number is\[{{=}^{4}}{{C}_{1}}{{\times }^{6}}{{C}_{4}}=60\].

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