Let `S_(1) = overset(10) underset(j=1) Sigma j(j-1) ""^(10)C_(j), S_(2) =overset(10) underset(j=1) Sigma j. ""^(10)C_(j), and S_(3) = overset (10) underset(j=1) Sigma j^(2). ""^(10)Cj`.
Statement 1: `S_(3)=55xx2^(9)`
Statement 2: `S_(1)=90xx2^(8) and S_(2) =10xx2^(8)`

Options

A. Statement 1 is false, statement 2 is true.
B. Statement 1 is true, statement 2 is ture, statement 2 is a correct explanation for statement 1.
C. Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for Statement 2.
D. Statement 1 is ture, statement 2 is false.

Answer

B