The value of $\sum\limits_{r = 0}^{n - 1} {\frac{{^n{C_r}}}{{^n{C_r} + {\,^n}{C_{r + 1}}}}} $ equals

  • A

    $n + 1$

  • B

    $\frac{n}{2}$

  • C

    $n + 2$

  • D

    None of these

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