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[" For "r=0,1,...,10," let "A(n),B(r)" a...

[" For "r=0,1,...,10," let "A_(n),B_(r)" and "C_(r)" denote respectively,the coefficients of "x^(r)" in the "],[" expansions of "(1+x)^(10),(1+x)^(20)ard(1+x)^(30)" ,then "sum_(m)^(10)sum_(n=1)^(n)A_(n)(B_(10)B_(r)-C_(10)A_(n))" is equal to "],[[" A) "C_(10)-B_(10)," B) "0," B) "0]]

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