#### 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.

#### Recommended Citation

Kovachy, Isaiyah, "Dining Etiquette and Combinatorics" (2013). *Academic Excellence Showcase Schedule*. 17.

http://digitalcommons.wou.edu/aes_event/2013/mth/17

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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.