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