Problem 3

Part of 1979 Yugoslav Team Selection Test

Problems(1)

marking points on a circle, venn configuration

Source: Yugoslav TST 1979 P3

There are two circles of perimeter

1979

1979

points be marked on the first circle, and several arcs with the total length of

1

on the second. Show that it is possible to place the second circle onto the first in such a way that none of the marked points is covered by a marked arc.

geometrycombinatorics