Title

Dining Etiquette and Combinatorics

Date

5-30-2013 9:40 AM

Location

Math and Nursing Building (MNB) 104

Department

Mathematics

Session Chair

Hamid Behmard

Session Title

Mathematics Senior Project Presentations 2

Faculty Sponsor(s)

Hamid Behmard

Presentation Type

Symposium

Abstract

We will look at a scenario where dinner guests are seated one by one randomly around a circular table and choose a napkin to their left or right depending on their preference. Given that there is only a one-to-one ratio of napkins to guests, it is obvious that some will most likely end up without a napkin. We consider combinatorial techniques to analyze this problem from several viewpoints and use these methods to find the percentage of people without a napkin. In the case of large groups, this solution will depend only on the preference of the guests.

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May 30th, 9:40 AM

Dining Etiquette and Combinatorics

Math and Nursing Building (MNB) 104

We will look at a scenario where dinner guests are seated one by one randomly around a circular table and choose a napkin to their left or right depending on their preference. Given that there is only a one-to-one ratio of napkins to guests, it is obvious that some will most likely end up without a napkin. We consider combinatorial techniques to analyze this problem from several viewpoints and use these methods to find the percentage of people without a napkin. In the case of large groups, this solution will depend only on the preference of the guests.