For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph must have Hamilton circuits, determine the number of such circuits. a. Must the graph have Hamilton circuits? Choose the correct answer below. A. Yes, it must because the graph is a complete graph that contains three or more vertices. O B. No, it might not because the graph is a complete graph that contains three or more vertices. O C. No, it might not because the graph is not a complete graph that contains less than three vertices. O D. Yes, it must because the graph is a complete graph that contains less than three vertices. b. How many Hamilton circuits, if any, does the graph have? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The graph has 360 Hamilton circuits. O B. The graph does not have any Hamilton circuits.

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