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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of permutation, Number of permutations with or without repetition, Conditional permutations

  • question_answer
    In how many ways can 10 balls be divided between two boys, one receiving two and the other eight balls

    A) 45

    B) 75

    C) 90

    D) None of these

    Correct Answer: C

    Solution :

    \[A\] gets 2, \[B\] gets 8;  \[\frac{10\ !}{2\ !\ 8\ !}=45\] \[A\] gets 8, \[B\] gets 2; \[\frac{10\ !}{8\ !\ 2\ !}=45\] \[\therefore \]\[45+45=90\].


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