A Short Yet Intriguing Puzzle About a Bank Vault
Discover a clever security system designed by cautious bank directors to protect their vault. This puzzle challenges your logic and problem-solving skills.
Imagine helping cautious bank directors develop a reliable security system for their vault.
Three bank directors distrust each other deeply. They decide to create a system of locks and keys to secure the vault. Their goal is to design it so that:
- No single director can open the vault alone.
- Any two directors can open the vault together by combining their keys.
What is the minimum number of locks and keys required to meet these conditions? And how should they distribute the keys?
The directors need to secure the vault with three locks, each requiring two keys to open. This means three locks and six keys are necessary.
Next, they must allocate the keys. For simplicity, label the locks as A, B, and C. The first director receives keys to locks A and B, the second director gets keys to locks B and C, and the third director holds keys to locks A and C. This setup ensures that no single director can open the vault alone, but any pair of directors can successfully open it together.
Try solving this engaging security puzzle yourself!
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