The value of $r$ for which $^{20}{C_r}^{20}{C_0}{ + ^{20}}{C_{r - 1}}^{20}{C_1}{ + ^{20}}{C_{r - 2}}^{20}{C_2} + ...{ + ^{20}}{C_0}^{20}{C_r}$ is maximum is

  • [JEE MAIN 2019]
  • A

    $15$

  • B

    $20$

  • C

    $11$

  • D

    $10$

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