JEE Main 202126 Aug, Morning shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002If 20Cr{{}^{20}{C_r}}20Cr is the co-efficient of x^r in the expansion of (1 + x)²⁰, then the value of ∑r=020r2.20Cr\sum\limits_{r = 0}^{20} {{r^2}.{}^{20}{C_r}}r=0∑20r2.20Cr is equal to :AOption A. 420×219420 \times {2^{19}}420×219BOption B. 380×219380 \times {2^{19}}380×219COption C. 380×218380 \times {2^{18}}380×218DOption D. 420×218420 \times {2^{18}}420×218CheckSkip · show solution