2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79411The panstochastic analogue of Birkhoff's Theorem on doubly-stochastic matrices is proved in the case $n=5$. It is shown that this analogue fails when $n>1$, $n \ne 5$.13 pages, no figures, AMSTeX, uses amsppt.sty. Version 4 has a few minor rewordingsRings and AlgebrasCombinatorics15A51; 15A57text