1.Let S1=∑j=120j(j−1)20CjS_1 = \sum_{j=1}^{20} j(j-1){}^{20}C_jS1=∑j=120j(j−1)20Cj, S2=∑j=120j20CjS_2 = \sum_{j=1}^{20} j{}^{20}C_jS2=∑j=120j20Cj, and S3=∑j=12020CjS_3 = \sum_{j=1}^{20} {}^{20}C_jS3=∑j=12020Cj.Statement-1: S3=55×29S_3 = 55 \times 2^9S3=55×29Statement-2: S1=90×28S_1 = 90 \times 2^8S1=90×28 and S2=10×28S_2 = 10 \times 2^8S2=10×28a.Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1b.Statement-1 is true, Statement-2 is falsec.Statement-1 is false, Statement-2 is trued.Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1Login to continueOnly logged in users canattempt or see the solution.