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

  • question_answer
    If 16 identical pencils are distributed among 4 children such that each gets at least 3 pencils. The number of ways of distributing the pencils is

    A) 15

    B) 25

    C) 35

    D) 40

    Correct Answer: C

    Solution :

    [c] Required number of ways = coeff. of \[{{x}^{16}}\] in \[{{({{x}^{3}}+{{x}^{4}}+{{x}^{5}}+{{x}^{6}}+{{x}^{7}})}^{4}}\]


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