JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Mathematical induction and Divisibility problems

  • question_answer
    For natural number n, \[{{(n\,!)}^{2}}>{{n}^{n}}\], if

    A) n > 3

    B) n > 4

    C) n ³ 4

    D) n ³ 3

    Correct Answer: D

    Solution :

      Check through option, condition \[{{(n\,!)}^{2}}>{{n}^{n}}\] is true when\[n\ge 3\].


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