The sauer-shelah lemma is a fancy math rule that helps people count things. Imagine you have a really big box of toys, and you want to know how many different ways you can arrange them. The sauer-shelah lemma says that no matter how big the box of toys is, there is a limit to the number of different arrangements you can make.
It's kind of like playing a game of Legos, where you have a bunch of different shapes and colors and you want to build something cool. The sauer-shelah lemma says that there are only so many different ways you can put those Legos together to make a really unique and creative structure.
This rule is really important for mathematicians because it helps them understand how many different possible outcomes there can be in certain situations. It's like a secret code that lets them unlock the mysteries of the universe and figure out how things work. So even though the sauer-shelah lemma might sound kind of confusing and complicated at first, it's really just a tool to help people count and understand math better.