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

  • question_answer
    The number of ways in which thirty five apples can be distributed among 3 boys so that each can have any number of apples, is

    A) 1332

    B) 666

    C) 333

    D) None of these

    Correct Answer: B

    Solution :

    The required number \[{{=}^{3+35-1}}{{C}_{3-1}}{{=}^{37}}{{C}_{2}}=666\] Aliter: The required number = coefficient of \[{{x}^{35}}\] in\[{{(1+x+{{x}^{2}}+......+{{x}^{35}})}^{3}}\].


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