2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73791We show that the number of monotone triangles with prescribed bottom row (k_1,...,k_n) is given by a simple product formula which remarkably involves (shift) operators. Monotone triangles with bottom row (1,2,...,n) are in bijection with $n \times n$ alternating sign matrices.Combinatoricstext