Inclusion-exclusion — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses inclusion-exclusion — 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
1985 AMC 8 Problem 15 · 1988 AMC 8 Problem 17 · 1991 AMC 8 Problem 9 · 1991 AMC 8 Problem 23 · 1999 AMC 8 Problem 9 · 2004 AMC 8 Problem 25 · 2007 AMC 8 Problem 13 · 2008 AMC 8 Problem 11 · 2010 AMC 8 Problem 20 · 2011 AMC 8 Problem 6 · 2015 AMC 8 Problem 15 · 2017 AMC 8 Problem 24 · 2019 AMC 8 Problem 11 · 2020 AMC 8 Problem 23 · 2024 AMC 8 Problem 19 · 2024 AMC 8 Problem 24 · 2025 AMC 8 Problem 10
AMC 10
2001 AMC 10 Problem 25 · 2004 AMC 10B Problem 2 · 2004 AMC 10B Problem 9 · 2004 AMC 10B Problem 21 · 2005 AMC 10B Problem 13 · 2010 AMC 10A Problem 17 · 2010 AMC 10B Problem 22 · 2011 AMC 10A Problem 25 · 2013 AMC 10A Problem 17 · 2017 AMC 10B Problem 13 · 2019 AMC 10A Problem 11 · 2021 AMC 10B Spring Problem 22
AMC 12
2001 AMC 12 Problem 12 · 2004 AMC 12B Problem 4 · 2005 AMC 12A Problem 18 · 2006 AMC 12B Problem 25 · 2010 AMC 12A Problem 9 · 2011 AMC 12A Problem 16 · 2012 AMC 12B Problem 12 · 2016 AMC 12A Problem 11 · 2017 AMC 12A Problem 14 · 2017 AMC 12B Problem 11 · 2020 AMC 12B Problem 11 · 2022 AMC 12B Problem 12
AIME
2001 AIME II Problem 2 · 2001 AIME II Problem 9 · 2002 AIME I Problem 1 · 2002 AIME II Problem 9 · 2005 AIME II Problem 4 · 2007 AIME II Problem 10 · 2009 AIME II Problem 9 · 2011 AIME II Problem 12 · 2013 AIME II Problem 9 · 2014 AIME I Problem 11 · 2014 AIME II Problem 9 · 2015 AIME I Problem 9 · 2016 AIME II Problem 11 · 2017 AIME II Problem 1 · 2017 AIME II Problem 11 · 2020 AIME II Problem 9 · 2021 AIME II Problem 6 · 2024 AIME II Problem 1 · 2025 AIME II Problem 7