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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.

8 votes
3 answers
635 views

What are the odds of a tie in a random election with k candidates?

Consider an election with $N$ voters and $k$ candidates, where each voter votes randomly for one of the candidates. What are the odds of a tie? Here "tie" means that multiple candidates get the highe …
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