\[^{n}{{C}_{0}}-\frac{1}{2}{{\,}^{n}}{{C}_{1}}+\frac{1}{3}{{\,}^{n}}{{C}_{2}}-......+{{(-1)} ^{n}}\frac{^{n}{{C}_{n}}}{n+1}=\]

\[^{n}{{C}_{0}}-\frac{1}{2}{{\,}^{n}}{{C}_{1}}+\frac{1}{3}{{\,}^{n}}{{

1.	\[^{n}{{C}_{0}}-\frac{1}{2}{{\,}^{n}}{{C}_{1}}+\frac{1}{3}{{\,}^{n}}{{C}_{2}}-......+{{(-1)} ^{n}}\frac{^{n}{{C}_{n}}}{n+1}=\]
A.	n
B.	1/n
C.	\[\frac{1}{n+1}\]
D.	\[\frac{1}{n-1}\]
Answer» D. \[\frac{1}{n-1}\]

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\[^{n}{{C}_{0}}-\frac{1}{2}{{\,}^{n}}{{C}_{1}}+\frac{1}{3}{{\,}^{n}}{{C}_{2}}-......+{{(-1)} ^{n}}\frac{^{n}{{C}_{n}}}{n+1}=\]

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