Solve the problem.James, Carl, Mark, Antonio, Phillip, and Brad are friends at college. Carl, Antonio and Phillip have calculus together. Brad, Carl, and Mark have the same English composition class. Draw a graph with vertices representing students and edges representing the relation "take a common class". How many components does the graph have? Identify a subgraph that is a complete subgraph with three vertices.
What will be an ideal response?
The graph has 2 components.
There are two subgraphs of three vertices that are complete: PAC and BCM.
Mathematics
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