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📘 Double Counting | 2021 State Competition Sprint Round Problem 28 – Full Solution & Strategy | 2025–2026 Nationals Preparation Preparing for math competitions or national contests in 2025–2026? In this lesson, we solve Problem 28 from the 2021 State Competition Sprint Round using the powerful Double Counting technique, one of the most important tools in combinatorics and olympiad-level problem solving. This step-by-step walkthrough shows how to recognize when double counting applies and how to use it effectively to solve difficult contest problems quickly and elegantly. Whether you're preparing for Nationals, AMC 10/12, AIME, or other olympiad-style competitions, this problem demonstrates key strategies used by top competitors. 🎯 What You’ll Learn in This Video ✔️ Complete solution to 2021 State Competition Sprint Round Problem 28 ✔️ How the Double Counting technique works in combinatorics ✔️ Recognizing hidden counting structures in contest problems ✔️ Efficient problem-solving strategies for competition math ✔️ Methods transferable to AMC, AIME, and Olympiad problems 🔥 Best For ✔️ Students preparing for Nationals math competitions (2025–2026) ✔️ AMC / AIME / Olympiad math contestants ✔️ Mathletes who want stronger combinatorics and counting skills ✔️ Students aiming for top contest scores 👨🏫 Why Learn From Me? ✅ Former Coach – Iranian IMO National Team (2018) ✅ Problem Author – AMC, AIME & Olympiad-style contests ✅ Stanford SUMaC Solver – Ranked #1 (2022) ✅ Students qualified for AIME, USA(J)MO & top global programs 📞 Elite 1-on-1 Competition Math Coaching Train like top olympiad students and master advanced problem-solving techniques. 📱 WhatsApp: +98 9122125462