You are here

Enumerating Row Arrangements of Three Species

by Michael Avidon, Richard Mabry and Paul Sisson

This article originally appeared in:
Mathematics Magazine
April, 2001

Subject classification(s): Discrete Mathematics | Combinatorics
Applicable Course(s): 2.7 Finite Math | 3.7 Discrete Math | 4.4 Combinatorics

In how many ways can a pet photographer pose \(C\) cats, \(D\) dogs, and \(E\) emus? The problem, often called Smirnov`s problem,  has several practical applications and has been solved in a variety of ways. The authors present a solution which, unlike previous solutions, is entirely elementary and accessible to students in a first course in combinatorics.


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

No votes yet

Dummy View - NOT TO BE DELETED