Pat and Chris played five games of checkers. Each won the same
number of games, but there were no draws (ties), nor were there
any unfinished games.
How is this possible?
I wish a had a more interesting signature line.
In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.