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

  • question_answer
    \[\frac{(n+2)!}{(n-1)!}\]is divisible by

    A) 4                    

    B) 4

    C) 6

    D) 7

    Correct Answer: C

    Solution :

    [c] \[\frac{(n+2)!}{(n-1)!}=\frac{(n+2)(n+1).n(n-1)!}{(n-1)!}=(n+2)(n+1).n\] That is product of 3 consecutive integers is divisible by 3!.


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