# Math Challenge Problem

The Math Challenge problem has returned to UNC's School of Mathematical Sciences! This is a problem that everyone is welcomed to try their hand at. New problems twice a month.

## February Challenge I

### Game of Pawns

*Pawn Only Chess* gives each player 8 pawns and no other pieces. The standard starting position is to have all pawns on the player's second row (just like they are in regular chess). This is not the only way you might think of starting though. Call a pawn placement *reasonable* if each column on the board contains exactly one pawn of each color, and has the white pawn "below" the black pawn (so that the pawns do not have an unobstructed path to the far end of the board).

**The Challenge:** How many reasonable pawn placements are there?

Submit solutions to Ross 2239G or by email to oscar.levin@unco.edu.

Deadline: **Monday, February 15th.**

Win** PRIZES!** A winner will be selected from all correct answers received for each challenge problem to receive a fun math prize of his or her choice.

## Previous Problems

### 2015-2016

September Challenge 1 | September Challenge 2 | October Challenge 1 | October Challenge 2| November Challenge 1 | November Challenge 2 | January Challenge

### 2014-2015

September Challenge 1 | September Challenge 2 | October Challenge 1 | January Challenge | February Challenge 1 | February Challenge 2 | March Challenge 1 | March Challenge 2 | April Challenge 1 | April Challenge 2

### 2013-2014

September Challenge 1 | September Challenge 2 | October Challenge 1 | October Challenge 2 | November Challenge 1 | November Challenge 2 | January Challenge | February Challenge 1 | February Challenge 2 | March Challenge 1 | March Challenge 1 | April Challenge 1 | April Challenge 2

### 2012 - 2013

September Challenge - Solution | October Challenge
|November Challenge | January Challenge - Solution
| February Challenge - Solution
| March Challenge - Solution
| April Challenge

### 2011 - 2012

Problem 1 (Solution) | Problem 2 (Solution) | Problem 3 | January Challenge (Solution) | February Challenge 1 (Solution) | February Challenge 2 | March Challenge | April Challenge