  The infinite-bin model, introduced by Foss and Konstantopoulos, describes the
Markovian evolution of configurations of balls placed inside bins, obeying
certain transition rules. We prove that we can couple the behaviour of any
finite number of balls, provided at least two different transition rules are
allowed. This coupling makes it possible to define the regeneration events
needed by Foss and Zachary to prove convergence results for the distribution of
the balls.
