Solve the Problem. -Six Freshmen Move into a Dormitory Suite at the Beginning

Solve the problem.
-Six freshmen move into a dormitory suite at the beginning of the semester. In order to get
to know one another, they decide to have breakfast in pairs for the next few days, each
student having a different breakfast partner each day until each student has had breakfast
with all other students exactly once. Draw a graph with vertices representing students and
edges representing breakfast dates. How many breakfasts will occur? How many days will
the process take?

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