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

  • question_answer
    If \[\frac{(n+2)!}{6(n-1)!}\] divisible by n, \[n\in N\]and \[1\le n\le 9,\] Then n is

    A) 4

    B) 2

    C) 6

    D) 1

    Correct Answer: D

    Solution :

    [d] If \[n=1\], then \[\frac{(n+2)!}{6(n-1)!}=\frac{3!}{6\times 0!}=\frac{6}{6}=1,\] divisible by 1.


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