Let R = {(a, a),(a, b), (b, b),(a, c), (c, c)} be a partial order relation on Σ= {a,b,c}. Let ≤ be the corresponding lexicographic order on Σ, the set of all finite strings over Σ. Which of the following is true? Select one: O a. abbac ≤ abbab O b. abbac ≤ abbaac O c. bc ba O d. O e. abbaaacc = abbaab abbacs abb

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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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A: a. S = {0, 1, 2, 3}, R = {(0,0), (1, 1), (1, 2), (2, 1), (2,2), (2, 3), (3, 3)} Reflexive: Yes. We…

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Q: 3. Show that the relation R (called lexicographic ordering) defined on Z x Z by: (a, b)R(c, d) if (a…

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Q: Discrete mathematics

A: Partial ordering relation

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A: Introduction :

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A: Definitions:

Q: 6. (a, b), C

A: Let R be the relation on the set of ordered pairs of positive integers such that a,b,c,d∈R if and…