Problem #PRU-100527

Problems Algebra Graphs and locus of points on the Cartesian plane

Problem

Each pair of cities in Wonderland is connected by a flight operated by "Wonderland Airlines". How many cities are there in the country if there are 105 different flights? We count a flight from city A to city B as the same as city B to city A - i.e. the pair A to B and B to A counts as one flight.