# 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 monthly.

## April Challenge

### Domino Circuit

A domino consists of two squares, each with some number of dots between 0 and 6 in each square. A standard double-six set of dominoes contains exactly one domino with each possible pair of numbers on it. Suppose you start laying down a line of dominoes, observing the rule that two dominoes can touch only if the numbers on the touching squares are equal. After laying down all but the last domino you notice that the two ends of the line happen to have 3 and 5 dots respectively.

**The Challenge:** What does the last domino look like? Prove your answer.

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

Deadline: **Friday, April 29.**

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 | February Challenge 1 | February Challenge 2 | March Challenge 1 | March Challenge 2

### 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 2 | 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