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 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.
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
1966 AMC 12 Problem 29 • 1983 AMC 12 Problem 26 • 1988 AMC 12 Problem 3 • 1990 AMC 12 Problem 10 • 1992 AMC 12 Problem 9 • 1998 AMC 12 Problem 24 • 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
1990 AIME Problem 1 • 1992 AIME Problem 10 • 1995 AIME Problem 1 • 1996 AIME Problem 6 • 1996 AIME Problem 14 • 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