1. A combinatorial weighing method implemented by a combinatorial weighing apparatus having a plurality of weighing machines for sensing the weight of articles supplied thereto and for producing weight data indicative of the sensed weights, a calculation control unit for performing a combinatorial calculation based on the weight data produced by the weighing machines, and setting units for setting a target weight value and allowable limits for a combinatorial weighing operation, the method comprising steps of: (a) subjecting the weight data to a combinatorial calculation performed by the calculation control unit on the basis of predetermined combination patterns; (b) calculating, using the calculation control unit, a total weight for all of the weight data from weighing machines that have participated in combinatorial weighing, said step (b) being executed when the combinatorial calculation performed in said step (a) fails to yield an optimum combination; and (c) supplementing a predetermined number of weighing machines which have comparatively low weight values, based on the weight data, with articles after comparing, by using the calculation control unit, the total weight calculated in said step (b) with a predetermined percentage of the set target weight value.