Value of \( \sum_{r=1}^{n}(-1)^{r+1} \cdot \frac{{ }^{n} C_{r}}{r+1} \) is equal to (A) \( -\fra...

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Value of \( \sum_{r=1}^{n}(-1)^{r+1} \cdot \frac{{ }^{n} C_{r}}{r+1} \) is equal to
(A) \( -\frac{1}{n+1} \)
(B) \( \frac{1}{n+1} \)
(C) \( -\frac{1}{n} \)
(D) \( \frac{n}{n+1} \)
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