🎯 Counting & Probability Mastery Guide

📘 Reference Materials

Scope Map - AMC 10 vs AMC 12 topic coverage
Notation Cheatsheet - Essential symbols and formulas
Concept Atlas - Quick primers on all topics

🧭 Core Topics

Counting Principles - Sum, product, complement rules
Permutations & Combinations - Arrangements and selections
Stars & Bars - Integer solution counting
Inclusion-Exclusion - Overlapping set counting
Probability Basics - Conditional probability and independence
Expected Value - Linearity and indicators

🧩 Problem Patterns

Seating & Restrictions - Adjacency and spacing problems
Word Rearrangements - Letter arrangements with constraints
Grid Paths - Lattice path counting
At Least/At Most - Complement and PIE strategies

📏 Quick Reference

Essential Formulas - Complete formula bank
Problem-Solving Tips - Strategies and checklists

🎲 Practice Problems

Practice Hub — Comprehensive AMC-style practice with mixed sets, topic drills, and mock exams

🏆 Contest Strategy

AMC 10: Focus on basic counting, simple probability, and fundamental formulas
AMC 12: Add advanced topics like generating functions, complex probability distributions
Time Management: Use symmetry and complement principles to avoid casework
Common Traps: Watch for indistinguishable objects, circular arrangements, and replacement vs. no-replacement

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