Q. Let $r = 0 \sum 100 s = 0 \sum 100 (C_{r}^{2} + C_{s}^{2} + C_{r} C_{s}) = m (^{2 n} C_{n}) + 2^{p}$ where $m, n$ and $p$ are even natural numbers and $C_{r}$ represents the coefficient of $x^{r}$ in the expansion of $(1 + x)^{100}$ . Find the value of $(m + n + p)$ .

89 115 Binomial Theorem Report Error

Answer: 502

Q. Let r=0∑100​s=0∑100​(Cr2​+Cs2​+Cr​Cs​)=m(2nCn​)+2p where m,n and p are even natural numbers and Cr​ represents the coefficient of xr in the expansion of (1+x)100. Find the value of (m+n+p).