Permutations — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Permutations — 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).
Filter by difficulty
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.
AMC 8
1990 AMC 8 Problem 12 • 1997 AMC 8 Problem 9 • 2001 AMC 8 Problem 25 • 2014 AMC 8 Problem 12 • 2015 AMC 8 Problem 4 • 2018 AMC 8 Problem 16 • 2022 AMC 8 Problem 14 • 2026 AMC 8 Problem 17
AMC 10
2002 AMC 10B Problem 9 • 2005 AMC 10B Problem 20 • 2007 AMC 10B Problem 20 • 2009 AMC 10B Problem 11 • 2011 AMC 10A Problem 22 • 2014 AMC 10A Problem 4 • 2017 AMC 10A Problem 25 • 2018 AMC 10A Problem 4 • 2018 AMC 10B Problem 18 • 2021 AMC 10B Spring Problem 22 • 2024 AMC 10A Problem 6 • 2024 AMC 10B Problem 17 • 2025 AMC 10B Problem 11
AMC 12
1976 AMC 12 Problem 30 • 1977 AMC 12 Problem 17 • 1985 AMC 12 Problem 11 • 1987 AMC 12 Problem 12 • 1987 AMC 12 Problem 27 • 1989 AMC 12 Problem 30 • 1991 AMC 12 Problem 26 • 2000 AMC 12 Problem 25 • 2001 AMC 12 Problem 16 • 2003 AMC 12B Problem 19 • 2008 AMC 12A Problem 21 • 2018 AMC 12A Problem 3 • 2019 AMC 12A Problem 16 • 2022 AMC 12A Problem 19 • 2025 AMC 12A Problem 18
AIME
1987 AIME Problem 13 • 1999 AIME Problem 13 • 2000 AIME I Problem 15 • 2000 AIME II Problem 5 • 2005 AIME II Problem 6 • 2007 AIME II Problem 1 • 2011 AIME II Problem 14 • 2014 AIME II Problem 13 • 2015 AIME II Problem 10 • 2016 AIME I Problem 8 • 2016 AIME II Problem 13 • 2017 AIME I Problem 11 • 2018 AIME II Problem 11 • 2020 AIME I Problem 5 • 2020 AIME II Problem 9 • 2021 AIME II Problem 3 • 2025 AIME I Problem 5 • 2026 AIME I Problem 7