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Enumerative Combinatorics

Exam prep

Print a unit's problems with full solutions, or sit a practice final that covers the whole course.

Study packets

  1. Unit 1 · 38 problems

    Counting principles, bijections, and the pigeonhole principle

  2. Unit 2 · 27 problems

    Binomial and multinomial coefficients, identities, and lattice paths

  3. Unit 3 · 24 problems

    Compositions, multisets, and distributing objects into boxes

  4. Unit 4 · 26 problems

    Inclusion-exclusion, derangements, and surjections

  5. Unit 5 · 27 problems

    Set partitions, Stirling numbers, and the cycle structure of permutations

  6. Unit 6 · 23 problems

    Integer partitions and Ferrers diagrams

  7. Unit 7 · 20 problems

    Ordinary generating functions, recurrences, and Catalan numbers

  8. Unit 8 · 15 problems

    Exponential generating functions and labeled structures

Packets and practice finals are for your own study. They do not count as Training attempts.