2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217342We asymptotically analyse the volume-random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most of the limit laws are Gaussian.9 pages, 1 figure, published in proceedings of the Fifth Colloquium on Mathematics and Computer ScienceCombinatorics05A16; 60C05text