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

  • 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 he will go to the garden is

    A) 336

    B) 112

    C) 56

    D) None of these

    Correct Answer: C

    Solution :

    The number of times he will go to the garden is same as the number of selecting 3 children from 8. Therefore the required number\[{{=}^{8}}{{C}_{3}}=56\].


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