Question: DISCRETE MATH (1) Suppose there are four tutorial sessions at different times for this class using the same room with capacity of exactly 20 seats.

DISCRETE MATH

(1) Suppose there are four tutorial sessions at different times for this class using the same room with capacity of exactly 20 seats. Each student provided the instructor with a list of the tutorial sessions that works for him/her according to the students schedule. Suppose each students schedule is in conflict with at most two of the tutorial sessions. The instructor must assign each student a seat during the tutorial session he/she can attend, if such an assignment is possible.

(a) Describe how to model this situation as a matching problem. Be sure to specify/describe the vertices/edges.

(b) Suppose there are 41 students.Given the information provided above, is a matching guaranteed? Briefly explain

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