Subsets — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Subsets — a combinatorics concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.

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AMC 10

2004 AMC 10A Problem 12 2005 AMC 10B Problem 25 2008 AMC 10A Problem 23 2017 AMC 10B Problem 17 2018 AMC 10B Problem 5 2021 AMC 10B Spring Problem 16 2022 AMC 10B Problem 14 2023 AMC 10B Problem 16 2024 AMC 10B Problem 12 2025 AMC 10A Problem 21

More combinatorics concepts

arrangements with restrictionsbasic countingbijectionBurnside’s LemmaCatalan Numbercircular arrangementscombinationscombinatorial gamecomplementary countingcounting integers in a rangecounting intersectionscounting pairscounting regionscounting shapes in figuresderangementsdouble countingfencepost countinggenerating functionsgraph theoryinclusion-exclusionlattice pathsmultiplication principlemultiset permutationspartitions and compositionsPascal’s Trianglepermutationspigeonhole principlerecursive countingstars and barstilingtree diagramVandermonde’s ConvolutionVenn Diagram