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A set of eleven bank robbers decided to store their loot from a successful job i

ID: 3007138 • Letter: A

Question

A set of eleven bank robbers decided to store their loot from a successful job in a safe until it was safe to start spending the money. Being somewhat but not completely trustful of one another, they decided they should be able to open the safe when and only when a majority of the robbers was present. Therefore, the safe was provided with a number of different locks (the key to any one not being able to open any other), and each robber was given keys to some of the locks. How many locks were required, and how many keys had to be given to any one bank

Explanation / Answer

If there are n number of locks then they robbers are having 2n number of keys

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