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## Homework Statement

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

A*B=[(S-A)intersection B] union [A intersection (S-B)]

## Homework Equations

Consider the set S={alice, bob, carol, don, erin, frank, gary, harriot}. Using the set operation * find the subgroup (Q,*) of (P,*) generated by the sets

{alice, bob}, {carol, don}, {erin, frank}, {gary, harriot}.

## The Attempt at a Solution

Using the information of b1 how do i solve b2???? am i suppose to assume S is Z_8? if so, would S={0,1,2,3,4,5,6,7}?