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For r = 0,1,...10, let A(r ),B(r ) and ...

For r = 0,1,...10, let `A_(r ),B_(r )` and `C_(r )` denote respectively the coefficient of `x^(r )` in the expansions of `(1+x)^(10), (1+x)^(20)` and `(1+x)^(30)`. Then `sum_(r=1)^(10) A_(r ) (B_(10)B_(r )-C_(10)A_(r ))` is equal to

A

`B_(10)- C_(10)`

B

`A_(10) (B_(10)^(2)- C_(10) A_(10))`

C

0

D

`C_(10) - B_(10)`

Text Solution

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The correct Answer is:
D
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