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Combinatorics & Counting

Explorer (Ages 8-12)

Chess Position Numbers

Discover Chess Position Numbers as a core part of Combinatorics & Counting. This lesson explains what it means, walks through a real example, introduces key terms, and includes three hands-on activities to help you understand and apply the idea.

15 min

+15 XP

Pascal's Triangle Magic

Discover Pascal's Triangle Magic as a core part of Combinatorics & Counting. This lesson explains what it means, walks through a real example, introduces key terms, and includes three hands-on activities to help you understand and apply the idea.

15 min

+15 XP

Fundamental Counting Rule

Discover Fundamental Counting Rule as a core part of Combinatorics & Counting. This lesson explains what it means, walks through a real example, introduces key terms, and includes three hands-on activities to help you understand and apply the idea.

15 min

+15 XP

Advanced Counting Techniques

Inclusion-exclusion, generating functions, and recurrence relations let you count sets that simple permutations and combinations cannot handle. They are the workhorses of higher combinatorics.

15 min

+16 XP

Binomial Theorem Expand

Discover Binomial Theorem Expand as a core part of Combinatorics & Counting. This lesson explains what it means, walks through a real example, introduces key terms, and includes three hands-on activities to help you understand and apply the idea.

15 min

+16 XP

Rubik's Cube Combinations

Discover Rubik's Cube Combinations as a core part of Combinatorics & Counting. This lesson explains what it means, walks through a real example, introduces key terms, and includes three hands-on activities to help you understand and apply the idea.

15 min

+16 XP