# Recreational Math Problems

From Huben's Wiki

These problems are solvable by high school students.

- Create a Venn diagram of 5-card poker hands. Fill in the number of different hands (or likelihoods) in each category.

- "There are 10 kinds of people in the world: people who don't know binary, people who do, and people who know ternary." Why does this make sense? Can it be extended further?

- Does an icosahedron have the same volume as 20 tetrahedrons with the same edge length?

- In the diagram below, d is a corner of a solid where three sides meet at right angles. Is angle gef obtuse, right, or acute? Under what conditions would it be any of those? Compare to angle egb for ideas.