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Last Updated: September 30, 2026
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Prove that from a set of ten distinct two-digit numbers (in the decimal system), it is possible to select two disjoint subsets whose ... In this video, I attempt to solve an Can you prove that within any set of 10 two-digit numbers, there will always be two disjoint subsets with the same sum? In ... A line is "sunny" if it avoids three simple directions. How many sunny lines can you use to cover a triangular grid of points? Rearrangement inequality again. Welcome! In this video, we will be going through Q1 from the We explore a specific type of sequence that is always composite, and see that there are infinitely many such sequences. 00:00 Intro 25 - 45/90 - 150 Take 15 00:30 Lessons from shooting the Online Resources: + AOPS Community, Contest Collections for the