Sum of Combination. Calculate $\sum_{k=0}^{10} \binom{10}{k}^2$

Question

I wanna know the answer of this problem and solve it:

$$\binom{10}{0}^2+\binom{10}{1}^2+\binom{10}{2}^2+\cdots+\binom{10}{10}^2 = \ ?$$

Can you help me? Thanks in advance.

Answer 1

$$\binom{2n}{n} = \sum_{k=0}^n \binom{n}{k} \binom{n}{n-k} = \sum_{k=0}^n \binom{n}{k}^2$$ I think it will help