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## Homework Statement

Let S be a set of things and let P be the set of subsets of S. For A, B in P define

A*B = ((S-A) intersect B) union (A intersect (S-B)).

Need to show that (P,*) is commutative and the group identity.

## Homework Equations

## The Attempt at a Solution

only attempted to show through venn diagrams..looking for an alternative approach?