Metro Connect: Relations Network Simulator
Relations and Functions
Explore the mathematical concept of relations through an interactive metro rail network simulation. Students will understand how relations connect elements between sets, visualize arrow diagrams, and calculate the number of possible relations.
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📖 Your Story
You are a junior network planner at Delhi Metro Rail Corporation (DMRC). Your task is to design and analyze route connections between different metro zones. Each zone represents a set, and the connections between stations form mathematical relations that you must understand and optimize.
What You'll Learn
- Understand relations as subsets of Cartesian products A × B
- Create and interpret arrow diagrams for relations
- Identify domain, range, and codomain of given relations
- Calculate the number of possible relations from set A to set B
How to Play
3 Missions Await
Building Basic Connections
4 problems · 40 XP
Arrow Diagram Analysis
3 problems · 45 XP
Counting All Possible Networks
4 problems · 85 XP