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A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations…
Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4 having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further suppose that direct flights are allowed only between two cities satisfying one of the following : 1. Both cities are in G1 2. Between A and any city in G2 3. Between B and any city in G3 4. Between C and any city in G4 Then the minimum number of direct fights that satisfies the underlying principle of the airline is :
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