olymmath

IrMO 1988 Problem 8

  • Paper 2

A city has a system of bus routes laid out in such a way that (a) there are exactly 1111 bus stops on each route; (b) it is possible to travel between any two bus stops without changing routes; (c) any two bus routes have exactly one bus stop in common. What is the number of bus routes in the city?

Dataset text AI-MO AoPS. Quoted with source.

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