Let $S_{1}=\sum_{j=1}^{10} j(j-1){ }^{10} C_{j}, S_{2}=\sum_{j=1}^{10} j{ }^{10} C_{j}$ and $S_{3}=\

Question

Let $S_{1}=\sum_{j=1}^{10} j(j-1){ }^{10} C_{j}, S_{2}=\sum_{j=1}^{10} j{ }^{10} C_{j}$ and $S_{3}=\sum_{j=1}^{10} j^{2}{ }^{10} C_{j}$. Statement-1: $S_{3}=55 	imes 2^{9}$. Statement-2: $S_{1}=90 	imes 2^{8}$ and $S_{2}=10 	imes 2^{8}$.

Professor PC Thomas Classes · Answer

(c)\