Discrete Math Help!

Ohnoo

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Oct 7, 2010
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Between 1970 and 1975. the NFL was divided into two conferences, with 13 teams in each conference. Each team played 14 games in a season. Would it have been possible for each team to play 11 games against teams from its own conference and 3 games against teams from the other conference? Use a graph model to answer this question (without drawing the graph).

This is a question from my homework that I'm having a lot of trouble even beginning. I understand that it wants me to prove this without actually drawing the graph. The section is on graphs, trees and Hamilton circuits. Please help! Thanks!
 
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