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Problem 2. Let n ≥ 1, let x be a positive integer, and let S be a subset of cardinality n + 1 from {x, x²,...,x2n}. Prove that there exists two numbers in S whose product is x²n+1.

Problem 2. Let n ≥ 1, let x be a positive integer, and let S be a subset of cardinality n + 1 from {x, x²,...,x2n}. Prove that there exists two numbers in S whose product is x²n+1.

Advanced Engineering Mathematics
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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generating function for the sequence a₁ = i! Vi≥ 0. Problem 2. Let n > 1, let x be a positive integer, and let S be a subset of cardinality n + 1 from {x, x², x2n}. Prove that there exists two numbers in S whose product is x²n+1. Problem 3. A drawer contains socks of 8 different colours. How many socks must you pull out of the drawer to be certain that you have two of the como no ....
Transcribed Image Text:generating function for the sequence a₁ = i! Vi≥ 0. Problem 2. Let n > 1, let x be a positive integer, and let S be a subset of cardinality n + 1 from {x, x², x2n}. Prove that there exists two numbers in S whose product is x²n+1. Problem 3. A drawer contains socks of 8 different colours. How many socks must you pull out of the drawer to be certain that you have two of the como no ....
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