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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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