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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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Number of ways to choose + and - to make an equation correct

Say we had n non-zero real numbers $a_i$ and another real number b. What is the maximum number of ways to choose a + or a - for each number such that the equation: $(+/-) a_1 (+/-) a_b ... (+/-)a_n = …
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