Question: Problem 3 (14 pts.) Expected Time: 1-2 hours. Similar to: Claims in Pigeonhole Principle, Tutorial 6 Problem 3. Type of Practice: Construct Proof with Less

Problem 3 (14 pts.) Expected Time: 1-2 hours. Similar to: Claims in Pigeonhole Principle, Tutorial 6 Problem 3. Type of Practice: Construct Proof with Less Guidance. This problem asks you to construct a cor- rect and precise proof by Pigeonhole principle about sets, with less guidance. Claim. Let n, k be positive integers such that k

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