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

  • question_answer
    For every positive integer n, \[{{2}^{n}}<n\,!\] when

    A) n < 4

    B) n ³ 4

    C) n < 3

    D) None of these

    Correct Answer: B

    Solution :

    Check through option, the condition \[{{2}^{n}}<n\,!\] is true when\[n\ge 4\].


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