We propose possible signatures of 'exogamous' combinations between partons in the different W + and W − hadron showers in e + e − → W + W − events with purely hadronic final states. Within the space-time model for hadronic shower development that we have proposed previously, we find a possible difference of about 10 % between the mean hadronic multiplicity in such purely hadronic final states and twice the hadronic multiplicity in events in which one W ± decays hadronically and the other leptonically, i.e., < N had (2W ) > = 2 < N had (W ) >, associated with the formation of hadronic clusters by 'exogamous' pairs of partons. We discuss the dependence of this possible difference in multiplicity on the center-of-mass energy, on the hadron momenta, and on the angular separation between the W ± dijets. If it were observed, any such multiplicity difference would indicate that the W ± do not hadronize independently, and hence raise questions about the accuracy with which the W ± mass could be determined from purely hadronic final states.