An inventory consists of a list of 115 items, each marked "available" or "unavailable." There are 60 available items. Show that there are at least two available items in the list exactly four items apart. (Pigeonhole principle)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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An inventory consists of a list of 115 items, each marked "available" or "unavailable." There are 60 available items. Show that there are at least two available items in the list exactly four items apart. (Pigeonhole principle). 

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