A package, which can be substantially hexahedral, is composed of a flexible polymer material and contains a plurality of articles. The package includes a front face wall, a back face wall, a top wall, a bottom wall and two oppositely located end walls. A plurality of stacks of the articles are contained within the package, and the article stacks arranged to extend in a generally parallel, side-by-side configuration with each stack including a multiplicity of the articles. Each of the stacks is aligned along an appointed stacking direction of the package, and each of the stacks has opposed facing ends thereof contacting opposed walls of the package. A designated opening mechanism extends across a selected primary opening wall of the package and extends across at least a portion of each of a pair of oppositely located, complementary opening walls of the package. The opening mechanism provides for a selected separation of the primary and complementary opening walls, and is positioned at a location which may be substantially between a pair of separable immediately adjacent arrays of stacked articles, thereby providing for a separation of the package into at least a pair of subpackages, with each subpackage containing at least a portion of at least one article stack therein while exposing a side portion of the at least one article stack for grasping.