2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127647We establish monotone bijections between the Farey sequences of order m and the halfsequences of Farey subsequences associated with the rank m elements of the Boolean lattice of subsets of a 2m-set. We also present a few related combinatorial identities.8 pages; published versionCombinatoricsNumber Theory05A19, 11B65text