ELI5: Explain Like I'm 5

Permutation graph

Let's say you have a group of friends. You want to figure out how many different ways you can line up your friends in a single file line.

A permutation graph is like a picture of all the different ways you can line up your friends.

Imagine drawing a line with a dot at the beginning and at the end. Now, you draw lines connecting the dots, but only one line can connect to each dot. Each connection in the graph represents a different order in which your friends can stand in line.

If you have 4 friends, you would draw a line with 5 dots and make 4 connections between each dot. This gives you all the possible ways your friends could line up, and you could use the permutation graph to keep track of them all.

Overall, a permutation graph is like a chart that shows all the possible orders that something can be arranged in. In this case, it's the different ways your friends could line up, but it can also be used for other things like counting different possible combinations of things.