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BEBRAS 2019 Grade 3-4 Round 2 Ext Question 13

BEBRAS · BEBRAS 2019 Grade 3-4 Round 2 Ext

Question 13

Beaver Roni has forgotten the password to his treasure cave. His notes say:
- The password has three digits.
- 1 7 2 contains exactly one correct digit, in the wrong position.
- 8 5 4 contains two correct digits, both in the wrong positions.
- 9 8 6 contains one correct digit, in the wrong position.
- 7 5 1 contains one correct digit, in the correct position.
What is the sum of the password’s digits?

Editorial convention: each clue gives the exact number of present digits; the remaining digits in that clue are absent.
  1. 19
  2. 14
  3. 16
  4. 15