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HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 01 Question 13

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 01

Question 13

Given that $8!+9!+10!$ is divisible by $2^n$, find the greatest integer $n$.
  1. 6
  2. 7
  3. 8
  4. 9