Proposition: If m items are placed into n boxes and n < m, then at least one box contains multiple items. Part B Prove using any correct method that, for any integer n E Z, the integer n²-n is even.
Proposition: If m items are placed into n boxes and n < m, then at least one box contains multiple items. Part B Prove using any correct method that, for any integer n E Z, the integer n²-n is even.
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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Transcribed Image Text:**Part A**
**Proposition:** If \( m \) items are placed into \( n \) boxes and \( n < m \), then at least one box contains multiple items.
**Part B**
Prove using any correct method that, for any integer \( n \in \mathbb{Z} \), the integer \( n^2 - n \) is even.
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