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AIMO 2021 Secondary 2 — Preliminary (Open Trial 1) Question 5

AIMO · AIMO 2021 Secondary 2 — Preliminary (Open Trial 1)

Question 5

Mrs. Mackay forgets the four-digit code of her safe. No digit is 0 and the digit sum is 9. What is the maximum number of attempts needed to guarantee opening the safe?
  1. 54
  2. 60
  3. 56
  4. 65