MathDB

5

Part of 2006 Pan African

Problems(1)

Integers divded into 3 sets, with no consecutive integers

Source: Pan African MO 2006 Q5

5/1/2013
In how many ways can the integers from 11 to 20062006 be divided into three non-empty disjoint sets so that none of these sets contains a pair of consecutive integers?
countingdistinguishabilitycombinatorics unsolvedcombinatorics