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HKIMO 2017 THPT (Grades 10–12 shared) National Final (Heat) Set 04 Question 6

HKIMO · HKIMO 2017 THPT (Grades 10–12 shared) National Final (Heat) Set 04

Question 6

Calculate $\binom81+9\binom82+9^2\binom83+\cdots+9^6\binom87+9^7\binom88$.