The coefficient of $x^4$ in ${\left[ {\frac{x}{2}\,\, - \,\,\frac{3}{{{x^2}}}} \right]^{10}}$ is :

  • A

    $\frac{{405}}{{256}}$

  • B

    $\frac{{504}}{{259}}$

  • C

    $\frac{{450}}{{263}}$

  • D

    $\frac{{405}}{{512}}$

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