# How Can 12 People Meet Each Other at Three Tables Over Five Days?

• Xamfy19
In summary, the "Dining table rotation problem" is a mathematical problem that involves finding the best way to rotate a group of people around a circular table so that they can interact with each other. Its significance lies in its real-world applications, such as in classrooms or dinner parties, and its relevance in computer science for scheduling algorithms. The main challenges in solving this problem include ensuring equal interactions, dealing with an odd number of people, and avoiding repetition. Some common algorithms used to solve it include the "Round Robin," "Circle," and "Cycle" algorithms. Real-life examples of this problem can be seen in group therapy sessions, restaurant settings, and sports tournaments.
Xamfy19
dining table seating question

12 persons sitting in three dining table in five days. How to arange the seating so that they meet each other in five days?

I got it. thanks alot.

Last edited:
Thanks alot

## 1. What is the "Dining table rotation problem"?

The "Dining table rotation problem" is a mathematical problem that involves determining the optimal way to rotate a group of people around a circular table so that each person has the opportunity to interact with every other person at the table. It is also known as the "Round Robin problem".

## 2. What is the significance of the "Dining table rotation problem"?

The "Dining table rotation problem" has real-world applications in situations where a group of people need to be evenly distributed and interact with each other, such as in a classroom or a dinner party. It also has implications in computer science, as it is a common problem in scheduling algorithms.

## 3. What are the main challenges in solving the "Dining table rotation problem"?

The main challenges in solving the "Dining table rotation problem" include ensuring that each person has an equal number of interactions, dealing with an odd number of people, and avoiding repeating the same rotation pattern.

## 4. What are some common algorithms used to solve the "Dining table rotation problem"?

Some common algorithms used to solve the "Dining table rotation problem" include the "Round Robin" algorithm, the "Circle" algorithm, and the "Cycle" algorithm. These algorithms vary in complexity and efficiency, but all aim to evenly distribute the rotations among the people at the table.

## 5. Are there any real-life examples of the "Dining table rotation problem"?

Yes, the "Dining table rotation problem" can be seen in various scenarios, such as in a group therapy session where each member is given a chance to interact with every other member, or in a restaurant setting where servers rotate between tables to ensure equal workload. It can also be applied to sports tournaments, where teams need to play against each other in a round-robin format.

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