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MathNet 2026 — Part 08 Question 131

Math Olympiad Vault · MathNet 2026 — Part 08

Question 131

Suppose $a, b, c, d$, and $e$ are objects that we can multiply together, but the multiplication doesn't necessarily satisfy the associative law, i.e. $(x y) z$ does not necessarily equal $x(y z)$. How many different ways are there to interpret the product $a b c d e$?