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BEBRAS 2019 Grade 5-6 Round 2 Ext Question 14

BEBRAS · BEBRAS 2019 Grade 5-6 Round 2 Ext

Question 14

Roni forgot the three-digit password to the treasure cave, but wrote these clues:
- The password has three digits.
- 1 7 2 contains exactly one correct digit, in the wrong position.
- 8 5 4 contains exactly two correct digits, both in wrong positions.
- 9 8 6 contains exactly one correct digit, in the wrong position.
- 7 5 1 contains exactly one correct digit, in the correct position.
What is the sum of the password’s digits?
  1. 19
  2. 14
  3. 16
  4. 15