On Certain Combinatorial Problems

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1962 English Publisher:American Association of Physics Teachers (AAPT)Journal:American Journal of Physics, volume 30, pages 330-332 (issn: 0002-9505, eissn: 1943-2909,

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Authors: Rosenstock, H. B.; Maradudin, A. A.;

doi: 10.1119/1.1942015

On Certain Combinatorial Problems

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Abstract

In a recent paper, McLachlan and Chamberlain have proposed and solved the following problem: To find the number W(n,m,M) of ways of distributing m indistinguishable objects into n boxes with no more than M in each box. We present in this paper two additional methods for solving this problem and give solutions to four problems proposed but not solved by McLachlan and Chamberlain.

Keywords

combinatorics

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