MathDB

(530) 2

Part of 1997 Tournament Of Towns

Problems(1)

TOT 530 1997 Spring J A2 - 25 pieces of cheese of different weights.

Source:

9/11/2024
You are given 2525 pieces of cheese of different weights. Is it always possible to cut one of the pieces into two parts and put the 2626 pieces in two packets so that ∙\bullet each packet contains 1313 pieces; ∙\bullet the total weights of the two packets are equal; ∙\bullet the two parts of the piece which has been cut are in different packets?
(VL Dolnikov)
combinatorics