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JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Self Evaluation Test - Principle of Mathematical Induction

  • question_answer
    The greatest positive integer, which divides \[n(n+1)(n+2)(n+3)\] for all \[n\in N,\] is

    A) 2

    B) 6

    C) 24

    D) 120

    Correct Answer: C

    Solution :

    [c] The product of r consecutive integers is divisible by r! thus \[n(n+1)(n+2)(n+3)\] is divisible by \[4!=24.\]


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