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 7

Revision as of 03:02, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Show that from any five integers, not necessarily distinct, one can always choose three of these integers whose sum is divisible by <math>3</math>. == Solution ==")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Show that from any five integers, not necessarily distinct, one can always choose three of these integers whose sum is divisible by $3$.

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1970_Canadian_MO_Problems/Problem_7&oldid=64641"