If the coefficient of the middle term in the expansion of ${(1 + x)^{2n + 2}}$ is $p$ and the coefficients of middle terms in the expansion of ${(1 + x)^{2n + 1}}$ are $q$ and $r$, then

  • A

    $p + q = r$

  • B

    $p + r = q$

  • C

    $p = q + r$

  • D

    $p + q + r = 0$

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