If $\frac{1}{n+1}{ }^n C_n+\frac{1}{n}{ }^n C_{n-1}+\ldots+\frac{1}{2}{ }^{ n } C _1+{ }^{ n } C _0=\frac{1023}{10}$ then $n$ is equal to

  • [JEE MAIN 2023]
  • A

    $6$

  • B

    $9$

  • C

    $8$

  • D

    $7$

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