The coefficient of ${x^3}$ in the expansion of ${\left( {x - \frac{1}{x}} \right)^7}$ is

  • A

    $14$

  • B

    $21$

  • C

    $28$

  • D

    $35$

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  • [JEE MAIN 2021]

If the coefficients of $x^7$ & $x^8$ in the expansion of ${\left[ {2\,\, + \,\,\frac{x}{3}} \right]^n}$ are equal , then the value of $n$ is :