Students in the Same Class Mary, Erin, Sue, Jane, Katy, and Brenda arc friends at college. Mary, Erin, Sue, and Jane are in the same math class. Sue, Jane, and Katy take the same English composition class.
(a) Draw a graph with vertices representing the six students, and edges representing the relation "take a common class."
(b) Is the graph connected or disconnected? How many components does the graph have?
(c) In the graph, identify a sub graph that is a complete graph with four vertices.
(d) In the graph, identify three different sub graphs that are complete graphs with three vertices. (There are several correct answers.)
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