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VTMO 2019 — Grade 9 — semifinal Question 9

VTMO · VTMO 2019 — Grade 9 — semifinal

Question 9

A diamond number remains unchanged after $180 ^{\circ}$ rotation. In the stated font, only $0 , 8$ and $6$↔$9$ are allowed; $11$ is excluded. How many six-digit diamond numbers exist?
  1. $45$
  2. $52$
  3. $48$
  4. $50$
  5. $65$