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2024 InIMC keystage2-EMIC individual Question 13

xIMC · 2024 InIMC keystage2-EMIC individual

Question 13

We define one village as bordering another village if they share a common border, not just a common point. For example, in the diagram below, village $X$ borders villages $Y$ and $Z$, but it does not border village $W$.

Question illustration

Meghan resides in town $A$, which comprises several villages. Each village borders exactly three other villages in town $A$.

Consider the situations when the number of villages in town $A$ is either 4, 5, 6, 7, 8, 9 or 10. List down all situations that can possibly fit our condition.