Jump to content

Gang of robbers/Treasure chest/Exercise

From Wikiversity

The gang of robbers called "Robin Hood“ consists of five people. They hide their stolen goods in a treasure chest. They want to secure the chest with several locks, and they want to distribute the (multiple) keys to the members. The distribution should be such that any two members alone are not able to open the chest, but any three members are able to open the chest. How many locks do they need, and how do they have to distribute the keys?