Burnside's lemma

Burnside's Lemma is a tool that helps you to figure out how many different ways something can be arranged. It is often used when you have a group of people or things that need to be arranged in a certain order, or when you want to count the number of solutions to a puzzle. For example, if you had a group of five friends who each wanted to sit in a certain seat at the dinner table, Burnside's Lemma would help you figure out how many different ways the five friends could be arranged in those seats.