# Math Club

**DESCRIPTION**

Each week Mondays at 6:30 in LABS 111 for recreational math and Thursdays at 6:30 in LABS 111 for math for competitions. Everyone is welcome to attend every week or just once if you want to check it out. Please reach out to a friendly cohead or advisor if you have questions.

**Forum:**

http://vbulletin.concordacademy.org/...search-Society

**Student Officers:**

Jason He & Raphi Kang.

**Faculty or Staff Advisors:**

Shawn Bartok

**Recent work:**

We plan to attend the Harvard MIT Math Tournament in November! Please email any of the faculty advisor(s) or cohead(s) with questions or for more information.

**Resources**

**List of summer math camps US (word doc)**

**List of summer math camps in US (pdf)**

**Current Problem of the Fortnight:**

The Pigeonhole Principle is a simple, yet powerful mathematical principle. It states that if you have more pigeons than you do pigeonholes (places to put pigeons), then there will be a pigeonhole that contains more than one pigeon.

**Problem A**: Show that there are at least two non-bald people in Boston with exactly the same number of hairs on their heads.

**Problem B**: Five points on the surface of a sphere are chosen at random. You are asked to cut the sphere in half however you like. Show that you can always guarantee at least 4 points on one of the two hemispheres. (HINT: You can choose which hemisphere the points you are cutting through go with.)

**Problem C**: 27 points are arranged in three rows containing nine points each. Each point is chosen to be either blue or red at random. Show that there is a monochromatic rectangle formed using four of these points (this means all four vertices are the same color).

Solutions are due by 3:15 PM on 12/12. See Shawn with questions.