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\[
C_{0}^{2}+\frac{1}{2} C_{1}^{2}+\frac{1}{3} C_{2}^{2}+\cdots+\frac{1}{n+1} C_{n}^{2} \text { equals }
\]
(a) \( \frac{1}{n}\left({ }^{2 n} C_{n}\right) \)
(b) \( \frac{1}{n+1}\left({ }^{2 n+1} C_{n}\right) \)
(c) \( \frac{1}{n}\left({ }^{2 n} C_{n+1}\right) \)
(d) \( \frac{1}{2}\left({ }^{2 n} C_{n+1}\right) \)
\( \mathrm{P} \)
W
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