James, Carl, Mark, Antonio, Phillip, and Brad Are Friends at College

question 41

Essay

James, Carl, Mark, Antonio, Phillip, and Brad are friends at college. James, Antonio and
Phillip have calculus together. Brad and Carl 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.

---

Definitions:

Venn Diagrams

Diagrams consisting of overlapping circles used to visually demonstrate the relationships between different sets or groups and their shared or distinct characteristics.

Three-Circle

A model or diagram typically involving three overlapping circles used to show relationships among three sets of items or concepts.

Venn Diagram

A graphical representation using circles to illustrate the relationships among various sets or groups by showing where they overlap and differ.

Particular Proposition

A categorical proposition that makes an assertion about at least one but not all members of the class designated by its subject term (I and O).