@Câu 10. [id406] (Chuyên KHTN) Cho khai triển ${{\left( \sqrt{3}+x \right)}^{2019}}={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+{{a}_{3}}{{x}^{3}}+...+{{a}_{2019}}{{x}^{2019}}$. Hãy tính tổng $S={{a}_{0}}-{{a}_{2}}+a{}_{4}-{{a}_{6}}+...+{{a}_{2016}}-{{a}_{2018}}$.

@Câu 10. [id406] (Chuyên KHTN) Cho khai triển ${{\left( \sqrt{3}+x \right)}^{2019}}={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+{{a}_{3}}{{x}^{3}}+...+{{a}_{2019}}{{x}^{2019}}$. Hãy tính tổng $S={{a}_{0}}-{{a}_{2}}+a{}_{4}-{{a}_{6}}+...+{{a}_{2016}}-{{a}_{2018}}$.

A. $0$.
B. ${{2}^{2019}}$.
C. ${{\left( \sqrt{3} \right)}^{1009}}$.
D. ${{2}^{1009}}$.