JEE Main 202330 Jan, Morning shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002The coefficient of x301{x^{301}}x301 in (1+x)500+x(1+x)499+x2(1+x)498 + ... + x500{(1 + x)^{500}} + x{(1 + x)^{499}} + {x^2}{(1 + x)^{498}}\, + \,...\, + \,{x^{500}}(1+x)500+x(1+x)499+x2(1+x)498+...+x500 is :AOption A. 500C300{}^{500}{C_{300}}500C300BOption B. 501C200{}^{501}{C_{200}}501C200COption C. 500C301{}^{500}{C_{301}}500C301DOption D. 501C302{}^{501}{C_{302}}501C302CheckSkip · show solution
