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For r = 0, 1,"…..",10, let A(r),B(r), an...

For `r = 0, 1,"…..",10`, let `A_(r),B_(r)`, and `C_(r)` denote, respectively, the coefficient of `x^(r )` in the expansion of `(1+x)^(10), (1+x)^(20)` and `(1+x)^(30)`. Then `underset(r=1)overset(10)sum 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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