cmhardw
Premium Member
My wife and I just did an interesting math problem. I post it here because we had fun thinking about this, and perhaps others will too.
My wife is working on a project making maps in one of her classes. Her class is split up into teams of 5 people, and everyone in a team is working on their own project making a map. When working on a project, each member in a team of 5 people must ask another member in the team for feedback on their project.
Question: If everyone in a team of 5 randomly asks another member in their team for help, then what is the probability that everyone in the team is asked to review someone else's project?
For example, one outcome is that the other four team members might ask my wife to review their projects, and she would ask someone to review her project. This would be two people reviewing others' projects. Stating the original question a different way, what is the probability that there are five project reviewers in my wife's team?
My wife is working on a project making maps in one of her classes. Her class is split up into teams of 5 people, and everyone in a team is working on their own project making a map. When working on a project, each member in a team of 5 people must ask another member in the team for feedback on their project.
Question: If everyone in a team of 5 randomly asks another member in their team for help, then what is the probability that everyone in the team is asked to review someone else's project?
For example, one outcome is that the other four team members might ask my wife to review their projects, and she would ask someone to review her project. This would be two people reviewing others' projects. Stating the original question a different way, what is the probability that there are five project reviewers in my wife's team?