\( C_{r}={ }^{n} C_{r} \) and \( \left(C_{0}+C_{1}\right)\left(C_{1}+C_{2}\right) \ldots\left(C_...

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\( C_{r}={ }^{n} C_{r} \) and \( \left(C_{0}+C_{1}\right)\left(C_{1}+C_{2}\right) \ldots\left(C_{n-1}+C_{r}\right)= \)
\( k \frac{(n+1)^{n}}{n !} \)
(A) \( C_{0} C_{1} C_{2} \ldots C_{n} \)
(B) \( C_{1}^{2} C_{2}^{2} \ldots C_{n}^{2} \)
(C) \( C_{1}+C_{2}+\ldots+C_{n} \)
(D) none of these
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