Tính tổng S=C 2018 1009+C 2018 1010+C 2018 1011+...+C 2018 2018

A. $S=2^{2018}-C_{2018}^{1009}$

B. $S=2^{2017}+\frac{1}{2}{C}_{2018}^{1009}$

C. $S=2^{2017}-\frac{1}{2}{C}_{2018}^{1009}$

D. $S=2^{2017}-C_{2018}^{1009}$