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2024 AMC 10A Problems/Problem 15

Revision as of 06:03, 16 August 2024 by Wzs26843545602 (talk | contribs) (buh)

Let $S$ be a finite set endowed with an associative binary operation $*$ such that $a*b*a=b$ for all $a,b\in S$. Prove that $|S|$ is a power of $2$.

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