Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1970 Canadian MO Problems/Problem 3

Revision as of 03:00, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == A set of balls is given. Each ball is coloured red or blue, and there is at least one of each colour. Each ball weighs either <math>1</math> pound or <math>2</math...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

A set of balls is given. Each ball is coloured red or blue, and there is at least one of each colour. Each ball weighs either $1$ pound or $2$ pounds, and there is at least one of each weight. Prove that there are two balls having different weights and different colours.

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1970_Canadian_MO_Problems/Problem_3&oldid=64639"