Let `S_1=sum_(j=1)^(10)j(j-1)^(10)C_j ,""S_2=sum_(j=1)^(10)j""^(10)C_i("andS")_"3"=sum_(j=1)^(10)j^2""^("10")"C"_"j"dot` Statement-1: `S_3=""55xx2^9` Statement-2: `S_1=""90xx2^8a n d""S_2=""10xx2^8` . (1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 (2) Statement-1 is true, Statement-2 is false (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

Options

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

Answer

D