JEE Main 2005Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002The value of 50C4+∑r=1656−rC3\,{}^{50}{C_4} + \sum\limits_{r = 1}^6 {^{56 - r}} {C_3}50C4+r=1∑656−rC3 isAOption A. 55C4{}^{55}{C_4}55C4BOption B. 55C3{}^{55}{C_3}55C3COption C. 56C3{}^{56}{C_3}56C3DOption D. 56C4{}^{56}{C_4}56C4CheckSkip · show solution