Abstract: A waste disposal bin for containing a trash can therein includes a four wall cabinet with a flap panel hingedly attached in blocking relation to an opening through an upper portion of a front wall. A pedal, exteriorly accessible at a base of the front wall, interconnects with a linkage assembly structured to cause the flap panel to be swung open and closed relative to the opening through the upper portion of the front wall upon corresponding downward and upward movement of the pedal respectively. The linkage assembly includes a combined rigid linkage assembly and a flexible linkage assembly structured and disposed to move the flap panel through a greater range of movement relative to a range of movement of the foot pedal, both the flexible and rigid linkage assemblies being at least partially concealed and segregated from a remainder of the cabinet interior so as to avoid interference with removal and replacement of the trash can and contact with trash being deposited through the opening of the front wall.