# Too much Binomial!

Algebra Level 4

$(C_0 + C_1)(C_1 + C_2)(C_2 + C_3)\cdot \cdot \cdot (C_{n-1} + C_n)$

Let $$C_k$$ denote the binomial coefficient $$\dbinom {n}{k}$$, can you simplify the product above for positive integer $$n > 1$$?

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