In general, an arrangement of objects is simply a grouping of them. The number of "arrangements" of n 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.

See also

Combination, Configuration, Cutting, Hyperplane, Ordering, Permutation

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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.

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Cite this as:

Weisstein, Eric W. "Arrangement." From MathWorld--A Wolfram Web Resource.

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