Khai triển\({{\left( 1+2x+3{{x}^{2}} \right)}^{10}...

Câu hỏi: Khai triển\({{\left( 1+2x+3{{x}^{2}} \right)}^{10}}={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{20}}{{x}^{20}}.\)Tính tổng \(S={{a}_{0}}+2{{a}_{1}}+4{{a}_{2}}+...+{{2}^{20}}{{a}_{20}}.\)

A  \(S={{15}^{10}}.\)                 

B  \(S={{17}^{10}}.\)                 

C  \(S={{7}^{10}}.\)                   

D  \(S={{7}^{20}}.\)