In general, an arrangement of objects is simply a grouping of them. The number of "arrangements" of items is given either by a combination
(order is ignored) or permutation (order is significant).
The division of space into cells by a collection of hyperplanes (Agarwal and Sharir 2000) is also called
an arrangement.
Agarwal, P. K. and Sharir, M. "Arrangements and Their Applications." Ch. 2 in Handbook
of Computational Geometry (Ed. J.-R. Sack and J. Urrutia). Amsterdam,
Netherlands: North-Holland, pp. 49-119, 2000.