The value of $-{ }^{15} C _{1}+2 .{ }^{15} C _{2}-3 .{ }^{15} C _{3}+\ldots \ldots$ $-15 .{ }^{15} C _{15}+{ }^{14} C _{1}+{ }^{14} C _{3}+{ }^{14} C _{5}+\ldots .+{ }^{14} C _{11}$ is

  • [JEE MAIN 2021]
  • A

    $2^{16}-1$

  • B

    $2^{13}-14$

  • C

    $2^{14}$

  • D

    $2^{13}-13$

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