The coefficient of ${x^{100}}$ in the expansion of $\sum\limits_{j = 0}^{200} {{{(1 + x)}^j}} $ is

  • A

    $\left( \begin{array}{l}200\\100\end{array} \right)$

  • B

    $\left( \begin{array}{l}201\\102\end{array} \right)$

  • C

    $\left( \begin{array}{l}200\\101\end{array} \right)$

  • D

    $\left( \begin{array}{l}201\\100\end{array} \right)$

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