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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.

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Efficiently getting bits of N! ?

I believe the problem is thought to be hard, but I unfortunately have no reference to give. A "complexity class" upper bound in given by Peter Bürgisser in the paper On defining integers and proving …
Kristoffer Arnsfelt Hansen's user avatar