JEE Main 20249 Apr, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002The coefficient of x70x^{70}x70 in x2(1+x)98+x3(1+x)97+x4(1+x)96+…+x54(1+x)46x^2(1+x)^{98}+x^3(1+x)^{97}+x^4(1+x)^{96}+\ldots+x^{54}(1+x)^{46}x2(1+x)98+x3(1+x)97+x4(1+x)96+…+x54(1+x)46 is 99Cp−46Cq{ }^{99} \mathrm{C}_{\mathrm{p}}-{ }^{46} \mathrm{C}_{\mathrm{q}}99Cp−46Cq. Then a possible value of p+q\mathrm{p}+\mathrm{q}p+q is :AOption A. 61BOption B. 83COption C. 55DOption D. 68CheckSkip · show solution
