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Let S(1) = sum(j=1)^(10) j(j-1).""^(10)...

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)`.

A

Statement-1 is true ,Statement-2 is true, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true ,Statement-2 is true, Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true ,Statement-2 is false

D

Statement-1 is false ,Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Questions Asked In Previous 13 Years Exam)
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  9. Let S(1) = sum(j=1)^(10) j(j-1).""^(10)C(j), S(2) = sum(j=1)^(10)j."...

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  18. If the number of terms in the expansion of (1-2/x+4/(x^(2)))^n x ne 0,...

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