[2.1.22] I have 51 rectangular pieces of cardboard, each of which has an integer length and width in the set {1,..., 100}. (Note that squares are allowed.) Prove that there are two rectangles such that one can fully cover the other when placed on top.
[2.1.22] I have 51 rectangular pieces of cardboard, each of which has an integer length and width in the set {1,..., 100}. (Note that squares are allowed.) Prove that there are two rectangles such that one can fully cover the other when placed on top.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![[2.1.22] I have 51 rectangular pieces of cardboard, each of which has an integer length and
width in the set {1,..., 100}. (Note that squares are allowed.) Prove that there are two
rectangles such that one can fully cover the other when placed on top.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b644f44-345f-4275-b9b2-ffb00cbba336%2Ffadffb85-3b43-4ddc-a67d-61b9ee77ab2d%2F9ksqejh_processed.png&w=3840&q=75)
Transcribed Image Text:[2.1.22] I have 51 rectangular pieces of cardboard, each of which has an integer length and
width in the set {1,..., 100}. (Note that squares are allowed.) Prove that there are two
rectangles such that one can fully cover the other when placed on top.
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