JEE Main 2007Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002The sum of the series 20C0−20C1+20C2−20C3+..... − ..... +20C10{}^{20}{C_0} - {}^{20}{C_1} + {}^{20}{C_2} - {}^{20}{C_3} + .....\, - \,.....\, + {}^{20}{C_{10}}20C0−20C1+20C2−20C3+.....−.....+20C10 isAOption A. 000BOption B. 20C10{}^{20}{C_{10}}20C10COption C. −20C10- {}^{20}{C_{10}}−20C10DOption D. 1220C10{1 \over 2}{}^{20}{C_{10}}2120C10CheckSkip · show solution
