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For r = 0 ,1,2,…, 10 , letA(r), B(r) "an...

For r = 0 ,1,2,…, 10 , let`A_(r), B_(r) "and " C_(r)` denote respectively ,
the coefficients of ` x^(r)` in the expansion of
` (1 + x)^(10), (1 + x)^(20) "and " (1 +x)^(30) , 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`.

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