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

  • question_answer
    For natural number n, \[{{2}^{n}}\,(n-1)\,!<{{n}^{n}}\], if

    A) n < 2

    B) n > 2

    C) n ³ 2

    D) Never

    Correct Answer: B

    Solution :

    Check through option, the condition \[{{2}^{n}}(n-1)\,!<{{n}^{n}}\] is satisfied for \[n>2\].


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