1.
Let S1=j=120j(j1)20CjS_1 = \sum_{j=1}^{20} j(j-1){}^{20}C_j, S2=j=120j20CjS_2 = \sum_{j=1}^{20} j{}^{20}C_j, and S3=j=12020CjS_3 = \sum_{j=1}^{20} {}^{20}C_j.
Statement-1: S3=55×29S_3 = 55 \times 2^9
Statement-2: S1=90×28S_1 = 90 \times 2^8 and S2=10×28S_2 = 10 \times 2^8