Consider an air traffic system with k airlines.
Probability
Level
3
A certain country has a domestic air traffic system with 5 airlines. The country regulates that
- Every pair of cities must be directly serviced by at least one airline.
- If an airline flies a direct service between two cities, then it must travel in both directions.
- The services of an individual airline cannot form a cycle through an odd number of cities.
What is the maximum number of cities that these 5 airlines can service?
The answer is 32.
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