MathDB

2

Part of 1989 ITAMO

Problems(1)

30 men with their 30 wives sitting at a round table

Source: 1989 ITAMO p2

1/31/2020
There are 3030 men with their 3030 wives sitting at a round table. Show that there always exist two men who are on the same distance from their wives. (The seats are arranged at vertices of a regular polygon.)
combinatoricsRound Table