If the maximum value of the term independent of $t$ in the expansion of $\left( t ^{2} x ^{\frac{1}{5}}+\frac{(1- x )^{\frac{1}{10}}}{ t }\right)^{15}, x \geq 0$, is $K$, then $8\,K$ is equal to $....$

  • [JEE MAIN 2022]
  • A

    $6006$

  • B

    $6005$

  • C

    $6007$

  • D

    $6008$

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