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12 Jul 2022

For r=0,1,...,10, if A r ​ ,B r ​ and C r ​ denote respectively the coefficient of x r in the expansions of (1+x) 10 ,(1+x) 20 and (1+x) 30 . Then, ∑A r ​ (B 10 ​ B r ​ −C 10 ​ A r ​ ) is equal to

 

For r=0,1,...,10, if A r ​ ,B r ​ and C r ​ denote respectively the coefficient of x r in the expansions of (1+x) 10 ,(1+x) 20 and (1+x) 30 . Then, ∑A r ​ (B 10 ​ B r ​ −C 10 ​ A r ​ ) is equal to
For r=0,1,...,10, if A r ​ ,B r ​ and C r ​ denote respectively the coefficient of x r in the expansions of (1+x) 10 ,(1+x) 20 and (1+x) 30 . Then, ∑A r ​ (B 10 ​ B r ​ −C 10 ​ A r ​ ) is equal to



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