Arranging Balls into Boxes

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration provides the answers to a variety of questions of the type, In how many ways can balls be placed into
boxes? You can vary the number of balls and boxes. Options include distinguishable or indistinguishable balls, distinguishable or indistinguishable boxes, and whether or not empty boxes are permitted.
Contributed by: Marc Brodie (February 2018)
(Wheeling Jesuit University)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Notation follows Martin's text [1]. In particular, stands for the number of integer partitions of
into exactly
parts.
References
[1] G. E. Martin, Counting: The Art of Enumerative Combinatorics, New York: Springer-Verlag, 2001.
Permanent Citation