Order matters when choosing sets

Warren B. Moors and Julia C. Novak

Abstract

Given natural numbers t, w, and v we show, using pre-degree level algebra, that if 1 < w < t < v then ((v ch t) ch w) < ((v ch w) ch t). Here we denote "n choose r" by (n ch r).

Keywords
Combinatorial inequalities

Math Review Classification
Primary 05A20 ; Secondary 05A05, 94A60

Last Updated
10th March 2009

Length
5

Availability
No online versions are available, but there should be a hardcopy version available from the department.