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probability and statistics

Combinatorics and counting

How to count without listing — permutations, combinations, inclusion–exclusion.

5 lessons Follow in order
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Lessons in sequence

Work through these in order—each lesson builds on the previous one.

  1. Lesson 1 of 5

    Counting principles

    Enroll to open · 7 min read

  2. Lesson 2 of 5

    Permutations and arrangements

    Enroll to open · 7 min read

  3. Lesson 3 of 5

    Combinations and the binomial coefficient

    Enroll to open · 7 min read

  4. Lesson 4 of 5

    Inclusion–exclusion principle

    Enroll to open · 8 min read

  5. Lesson 5 of 5

    Pigeonhole and its surprises

    Enroll to open · 6 min read

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