2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65415In this paper, we derive several formulas of counting families of non-intersecting paths for two-sided ladder-shaped regions. As an application, we give a new proof to a combinatorial interpretation of Fibonacci numbers obtained by G. Andrews in 1974.23 pagesCommutative AlgebraCounting of paths and the multiplicity of determinantal ringstext