Question: Let A = {a, b, c} and R be the partial order relation R = {(a, a), (b, b), (c, c), (a, b)}. Define the

Let A = {a, b, c} and R be the partial

Let A = {a, b, c} and R be the partial order relation R = {(a, a), (b, b), (c, c), (a, b)}. Define the lexicographic order relation precedesorequalto on the set S of strings of elements of A. Let S_n be the set of strings in S of length less than or equal to n. (a) List the elements of S_3. (include null string e also) (b) Arrange the elements in lexicographic order. (c) Draw the Hasse diagram for the poset (S3, precedesorequalto). (d) write the maximal and minimal elements of S_3

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