Elevate your mathematical toolkit and out‑count the competition. This authoritative combinatorics textbook compresses decades of classroom expertise into 44 crystal‑clear chapters—each a self‑contained power module that pushes your understanding from basic counting to probabilistic wizardry.

🔹 Zero‑to‑expert progression – Grasp the Addition & Multiplication Principles, then soar through the Pigeonhole Principle, Catalan Numbers, Stirling Numbers, Polya’s Enumeration Theorem, and the Probabilistic Method.
🔹 Learn by doing – 450+ solved examples and fully worked solutions ensure every concept locks in.
🔹 Exam ready – Perfect for Putnam, Math Olympiad, GRE Subject Test, and coding interview preparation.
🔹 Bridge theory and practice – See how counting principles power algorithms, cryptography, data science, and statistical sampling.
🔹 Symmetry & strategy – Group actions, Burnside’s Lemma, and asymptotic estimation turn impossible counts into one‑line answers.

Whether you’re a student aiming for top grades, an instructor seeking a proven course text, or a self‑learner hungry for discrete mathematics excellence, this book delivers the clarity, depth, and challenge you crave.

Master every core tool of modern combinatorics—then wield them with confidence.

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