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Abstract Algebra

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Moderate

Non-associative Operations on Small Sets

ABSALG-ZLEYNM

Determine the smallest $n\in \mathbb{Z}_{>0}$ for which there exists a non-associative binary operation on the set $\{1,\dots, n\}$.

A

$1$

B

$2$

C

$3$

D

$4$

E

None of the above