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For r= 0, 1,.....,10, let Ar,Br, 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,(+x)^20 and (1+ x)^30`.Then `sum_(r=1)^10 A_r(B_10B_r-C_10A_r)` is equal to

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