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

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)(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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