Let A = {a, b, c, d}. 1. Find all combinatorial lines in A². How many combinatorial lines are there? 2. Let n E N. Prove that the number of combinatorial lines in A" equals 5" – 4".

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
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Let A = {a, b, c, d}.
1. Find all combinatorial lines in A². How many combinatorial lines are there?
2. Let n E N. Prove that the number of combinatorial lines in A" equals 5" – 4".
Transcribed Image Text:Let A = {a, b, c, d}. 1. Find all combinatorial lines in A². How many combinatorial lines are there? 2. Let n E N. Prove that the number of combinatorial lines in A" equals 5" – 4".
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