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/ $\{1,2,3\}, \{4\}$
$\{1,2,3\}, \{4\}$
February 22, 2026
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$S(4,2) = 2^2 - 1 = 7$? No — standard recurrence:
$S(3,2) = 2 \cdot 1 + 1 = 3$
Alternatively: list all such partitions:
$\{1,2,4\}, \{3\}$
$\{1,3,4\}, \{2\}$
$\{2,3,4\}, \{1\}$
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