Recursive counting — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses recursive 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 10
AIME
2001 AIME I Problem 14 · 2002 AIME II Problem 12 · 2004 AIME I Problem 15 · 2005 AIME I Problem 13 · 2006 AIME I Problem 11 · 2008 AIME I Problem 11 · 2015 AIME II Problem 10 · 2015 AIME II Problem 12 · 2016 AIME II Problem 12 · 2018 AIME I Problem 14 · 2018 AIME II Problem 11 · 2019 AIME II Problem 12 · 2021 AIME II Problem 8 · 2025 AIME I Problem 15 · 2026 AIME I Problem 15