A certain Mint manufactured 4010 silver dollars.
It is known that if any two coins were weighed against each other the difference in weight would be less than 1/100 of an ounce.

Prove that the coins can be partitioned in such a way that the total group weights differ by less than 1/100 of an ounce.

My solution was the same as Steve's.

Edited on September 16, 2014, 1:40 am

Posted by broll on 2014-09-16 01:25:25