Coefficient of $x^6$ in the binomial expansion ${\left( {\frac{{4{x^2}}}{3}\; - \;\frac{3}{{2x}}} \right)^9}$ is

  • A

    $2438$

  • B

    $2688$

  • C

    $2868$

  • D

    none

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  • [IIT 2014]