# 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.

## April Challenge 2

### Labeled Cube

Suppose you take a cube and label one of its vertices with a 1, and all the other vertices with a 0. You may now change the numbers on the vertices by picking any edge of the cube and adding one to the labels of its two endpoints.

**The Challenge**: Will there every be a configuration where all the labels are even? Will there every be a configuration where all the labels are divisible by 3?

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

Deadline: **Friday, May 2**

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

## Previous Problems

### 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

### 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