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Groups Further
Groups of Sets
Age 16 to 18
Challenge Level 
The binary operation * for combining sets is defined as the union of two sets minus their intersection. Prove the set of all subsets of a set S together with the binary operation * forms a group.
Poison, Antidote, Water
Age 14 to 18
Challenge Level
Play the game of Poison, Antidote, Water to start to understand the mathematics of associativity and groups.