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Broad Topics >

Calculations and Numerical Methods > Inverses

##### 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.

##### Age 16 to 18 Challenge Level:

Explore the properties of some groups such as: The set of all real
numbers excluding -1 together with the operation x*y = xy + x + y.
Find the identity and the inverse of the element x.

##### Age 11 to 16 Challenge Level:

This Sudoku requires you to do some working backwards before working forwards.