Let S be the set S={a,b,c}. 1. Write all the elements of the power set of S: the set of all subsets of S. 2. Subset relation defines a partial order R on the power set of S. That is, for two subsets A and B: (A, B) ∈? if and only if A⊆?. Describe this partial order using ordered pairs or a hierarchy diagram. 3. Find the largest subset of the power set of S such that the relation R is a total order on that set.

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