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

` B_(10) - C_(10)`

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

`C_(10) - B_(10)`

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