Basic counting — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses basic counting — 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 7 · 1986 AMC 8 Problem 9 · 1998 AMC 8 Problem 11 · 2004 AMC 8 Problem 5 · 2005 AMC 8 Problem 14 · 2006 AMC 8 Problem 2 · 2009 AMC 8 Problem 9 · 2010 AMC 8 Problem 1 · 2011 AMC 8 Problem 3 · 2011 AMC 8 Problem 8 · 2013 AMC 8 Problem 22 · 2014 AMC 8 Problem 16 · 2016 AMC 8 Problem 18 · 2024 AMC 8 Problem 17 · 2026 AMC 8 Problem 2
AMC 10
2003 AMC 10B Problem 15 · 2004 AMC 10A Problem 6 · 2004 AMC 10A Problem 7 · 2004 AMC 10B Problem 1 · 2005 AMC 10A Problem 5 · 2008 AMC 10B Problem 1 · 2009 AMC 10B Problem 19 · 2012 AMC 10A Problem 14 · 2012 AMC 10B Problem 24 · 2015 AMC 10A Problem 18 · 2018 AMC 10B Problem 3 · 2023 AMC 10B Problem 11 · 2024 AMC 10B Problem 1
AMC 12
2004 AMC 12A Problem 4 · 2005 AMC 12A Problem 4 · 2005 AMC 12A Problem 11 · 2006 AMC 12A Problem 24 · 2006 AMC 12B Problem 18 · 2010 AMC 12B Problem 15 · 2013 AMC 12A Problem 20 · 2015 AMC 12A Problem 24 · 2015 AMC 12B Problem 6 · 2017 AMC 12A Problem 5 · 2017 AMC 12A Problem 20 · 2018 AMC 12A Problem 15 · 2021 AMC 12B Spring Problem 2 · 2024 AMC 12B Problem 1