Theoretical description of large ligand binding to a one-dimensional array of binding sites (lattice) is modified for oligomer-polymer binding and found to predict some experimentally observed phenomena. In the model, not only the lattice but also a ligand is defined as an array of binding sites. Additional assumptions made are the first-order intraligand cooperativity, the infinitely small lattice concentration, and semiflexible binding (i.e., ligand dangling ends are allowed, but not looping). The relations and procedures derived for equilibrium binding to a finite lattice, equilibrium binding to an infinite lattice, and for kinetics of binding to a finite lattice are mutually consistent and predict the existence of experimentally observed phenomena such as charge inversion in polyelectrolyte complexes, the effect of the rate or order in which the components are mixed on properties of formed polymer nanoparticles, and the salt effect on polycation-polyanion turbidimetric titration.