MathDB
40 objects are placed along a circle at equal distances, choose 3

Source: CRMO 2015 region 4 (Karnataka) p4

September 30, 2018
combinatoricscombinatorial geometrycircle

Problem Statement

Suppose 4040 objects are placed along a circle at equal distances. In how many ways can 33 objects be chosen from among them so that no two of the three chosen objects are adjacent nor diametrically opposite?