In this paper a method proposed recently by Miller and Macosko is used for calculation of the network structure of a polyfunctional amine polymerizing with a bifunctional epoxy resin. Finite chain probabilities are derived for amine functionalities, taking the values of 5 and 6. The values of vcderived by this method are tested with those obtained from the equation for rubber elasticity. Some further assumptions for networks with short chains are made for both this method and the classical theory of rubber elasticity. A satisfactory approximation between theoretical and experimental values of vcis then obtained.