If ${x^m}$occurs in the expansion of ${\left( {x + \frac{1}{{{x^2}}}} \right)^{2n}},$ then the coefficient of ${x^m}$ is

  • A

    $\frac{{(2n)!}}{{(m)!\,(2n - m)!}}$

  • B

    $\frac{{(2n)!\,3!\,3!}}{{(2n - m)!}}$

  • C

    $\frac{{(2n)!}}{{\left( {\frac{{2n - m}}{3}} \right)\,!\,\left( {\frac{{4n + m}}{3}} \right)\,!}}$

  • D

    None of these

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