Problem
COM-B1-M05-P019 Difference Divisible by \(5\)
#19
★★★☆☆ Level 3 of 5
Prove that among any \(6\) integers, two have a difference divisible by \(5\).
Residues modulo \(5\).
There are \(5\) residues modulo \(5\). Among \(6\) integers, two have the same residue, so their difference is divisible by \(5\).
Short check problem.