A group of five people want to put a set of locks on a chest and distribute keys to the locks amongst themselves in such a way that all the locks on the chest could be opened only when at least three of them were present to open it.

How many locks would be needed, and how many keys?

(In reply to re(2): key answer +an EXTRA key for GAMER by Ady TZIDON)

An example of Ady's suggest distribution would be:

                     Locks


    1    2    3    4    5    6   7   8   9  10
1 | X    X    X    X    X    X
2 | X    X    X                  X   X   X
3 | X              X    X        X   X       X
4 |      X         X         X   X       X   X
5 |           X         X    X       X   X   X

Posted by SilverKnight on 2004-03-03 18:17:24