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Omni-MATH / The mayor of a city wishes to establish a transport system with at least one bus…

Problem

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problem

The mayor of a city wishes to establish a transport system with at least one bus line, in which:
- each line passes exactly three stops,
- every two different lines have exactly one stop in common,
- for each two different bus stops there is exactly one line that passes through both.
Determine the number of bus stops in the city.

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