Olympiad Combinatorics Problems Solutions Link

Show that in any group of 6 people, there are either 3 mutual friends or 3 mutual strangers.

At a party, some people shake hands. Prove that the number of people who shake an odd number of hands is even. Olympiad Combinatorics Problems Solutions

Happy counting! 🧩 Do you have a favorite Olympiad combinatorics problem or a clever solution that blew your mind? Share it in the comments below! Show that in any group of 6 people,

When a problem involves moves or transformations, look for what doesn’t change modulo 2, modulo 3, or some clever coloring. 3. Double Counting: Two Ways to Tell the Same Story One of the most elegant weapons in the Olympiad arsenal. Count the same set of objects in two different ways to derive an identity. Happy counting

But here’s the secret: