Tính tổng \(S = C_{2018}^0 - 3.C_{2018}^2 + {3^2}....

Câu hỏi: Tính tổng \(S = C_{2018}^0 - 3.C_{2018}^2 + {3^2}.C_{2018}^4 - {3^3}.C_{2018}^6 + \,\,...\,\, - \,{3^{1009}}.C_{2018}^{2018}\)

A \(S = {2^{2017}}.\)

B \(S = {2^{2018}}.\)

C \(S =  - \,{2^{2017}}.\)

D \(S =  - \,{2^{2018}}.\)