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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.

11 votes

Puzzle on deleting k bits from binary vectors of length 3k

If a vector has $d$ one-entries, and $d\leq n/2$, then delete as many ones as you can, (and further zeros if necessary). Conversely, if a vector has more one entries than zero entries, delete as many …
Christian Elsholtz's user avatar