the number of total matches should always be even.
Bab said: "I have played 1 match."
Beb said: "I have played 2 matches."
Bib said: "I have played 3 matches."
Bob said: "I have played 4 matches."
bob played 4 so each player played at least once.
so bab's only game was with bob.
beb played with bob and 1 other.
bib played with bob and 2 other.
so to even the things up beb must have played with bib cause if beb played 1 other and thats with bub then bib must have played his 2 games with himself
so beb played his 1 game with bob and the other game with bib. and the extra game that was left for bib was played against bub.
so bub vs bib
and bub vs bob
2 games. is just a simple nPr problem.
Barbaric nomad causing P-A-I-N.