Abstract
Barely set-valued tableaux were introduced by Reiner, Tenner, and Yong in their study of the probability distribution of edges in the Young lattice of partitions. We prove a generalization of a conjecture of Reiner, Tenner, and Yong on the number of barely set-valued tableaux. To do this we apply results of Chan, Haddadan, Hopkins, and Moci on jaggedness of shapes.
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