MathDB
Singers and concerts

Source: CMO-1996-4

January 3, 2006
combinatorics unsolvedcombinatorics

Problem Statement

88 singers take part in a festival. The organiser wants to plan mm concerts. For every concert there are 44 singers who go on stage, with the restriction that the times of which every two singers go on stage in a concert are all equal. Find a schedule that minimises mm.