  We quantify a social organization's potentiality, that is its ability to
attain different configurations. The organization is represented as a network
in which nodes correspond to individuals and (multi-)edges to their multiple
interactions. Attainable configurations are treated as realizations from a
network ensemble. To encode interaction preferences between individuals, we
choose the generalized hypergeometric ensemble of random graphs, which is
described by a closed-form probability distribution. From this distribution we
calculate Shannon entropy as a measure of potentiality. This allows us to
compare different organizations as well different stages in the development of
a given organization. The feasibility of the approach is demonstrated using
data from 3 empirical and 2 synthetic systems.
