{"schema_version":"teacher-skill-representation.payload.v1","representation":{"schema_version":"teacher-skill-representation.v1","skill_ref":"logic.combinatorics.tree-diagram","domain_slug":"logic","skill_slug":"combinatorics-tree-diagram","canonical_url":"/math/skills/logic/combinatorics-tree-diagram","public_title":"Combinatorics Tree Diagram","family_ref":"module-family.logic.constraint-deduction-combinatorics.v1","family_name":"Logic, Constraint, Deduction, and Combinatorics","pattern_cluster_refs":["pattern-cluster.logic.systematic-listing-tree-combinatorics.v1"],"task_pattern_refs":["task-pattern.logic.tree-diagram-enumeration.v1","task-pattern.logic.product-rule-readiness.v1"],"task_form_refs":["task-form.logic.tree-diagram-branch-read-build.v1","task-form.logic.product-rule-factor-card-choice.v1"],"teacher_summary":"Combinatorics Tree Diagram builds logic, constraint, deduction, and combinatorics through visual tasks, examples, and next-step 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