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So, statement-1 is also true. Stetement-...

So, statement-1 is also true. Stetement-2 is a correct
expanation for statement-1.
`S_(1)= sum_(j=1)^(10) j (j -1)""^(10)C_(j),S_(2)= sum_(j=1)^(10)j.""^(10)C_(j) and S_(2)= sum_(j=1)^(10)j.""^(10)C_(j) .` Statement-1 `S_(3) = 50xx2^(9)`.
Statement-2 `S_(1) = 90xx2^(8) and S_(2) = 10 xx 2^(8)`

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S_(1)= sum_(j=1)^(10) j (j -1)""^(10)C_(j) and S_(2)= sum_(j=1)^(10)j.""^(10)C_(j) . Statement-1 S_(3) = 50xx2^(9) . Statement-2 S_(1) = 90xx2^(8) and S_(2) = 10 xx 2^(8)

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 xx 2^(9) . Statement 2 : S_(1) = 90 xx 2^(8) and S_(2) = 10 xx 2^(8) .

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 xx 2^(9) . Statement 2 : S_(1) = 90 xx 2^(8) and S_(2) = 10 xx 2^(8) .

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 xx 2^(9) . Statement 2 : S_(1) = 90 xx 2^(8) and S_(2) = 10 xx 2^(8) .

Let S_(1) = sum__(j=1)^(10) j(j-1)""^(10)C_(j), S_(2) = sum_(j=1)^(10)""^(10)C_(j) , and S_(3) = sum_(j=1)^(10) j^(2).""^(10)C_(j) . Statement 1 : S_(3) xx 2^(9) . Statement 2 : S_(1) = 90 xx 2^(8) and S_(2) = 10 xx 2^(8) .

Find the sum sum_(j=1)^(10)sum_(i=1)^(10)ixx2^(j)

Find the sum sum_(j=1)^(10)sum_(i=1)^(10)ixx2^(j)