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MathNet 2016-part-04 — 184 problems (EN–VI) Question 110

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 110

In NBA, there are 30 teams; in a regular season every team is to participate in 82 games. Is it possible to split the teams into two conferences — Western and Eastern, and compose the schedule of the regular season so that the number of games between the teams from different conferences will be exactly the half of the total number of games?