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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

19 votes
Accepted

Rooks in three dimensions

As far as I know, it is still open whether or not there is any finite number of rooks which can force checkmate. However, this is possible. I answered the question over at math.stackexchange describin …
George Lowther's user avatar
60 votes
Accepted

Mean minimum distance for N random points on a one-dimensional line

This can answered without any complicated maths. It can be related to the following: Imagine you have $N$ marked cards in a pack of $m$ cards and shuffle them randomly. What is the probability that t …
George Lowther's user avatar