# Properties of binomial coefficient

Let $$n \in \mathbb{N}_{> 0}$$ and consider the binomial expansion of $(x+y)^n = \sum\limits_{k=0}^{k=n} \alpha_k x^k y^{n-k}$ where $$\alpha_k \in \mathbb{R}$$

Calculate $$\sum\limits_k \alpha_k$$ and express your answer as a function of $$n$$.

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