Quasigroup

So imagine you have a group of friends, and you all have different colored shirts. You decide that each person can only wear one color each day. But, you don't want anyone to have the same color shirt as someone else. How can you make sure this happens?

Well, you can use a special thing called a quasigroup! A quasigroup is when you have a set of things, kind of like your group of friends, and a way to combine them, like choosing a different color shirt each day.

But in a quasigroup, you have to make sure that each combination only happens once. So, if you're choosing shirt colors, you can't have two people pick the same shirt color on the same day.

This might sound a little complicated, but it's really just a way to make sure that everyone gets to choose something without repeating anything. Just like you and your friends can choose different shirt colors each day, but can't wear the same color at the same time.

And that's what a quasigroup is! It's a way to combine things without repeating any combinations.