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02-26-2013, 06:08 PM
  #858
Physicist
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Join Date: Jul 2005
Location: Vancouver, BC
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Quote:
Originally Posted by MNNumbers View Post
What he is saying is that if each team plays 29 division games, that is a total of 203 team*divisiongames. But, that number has to be even, because there are 2 teams in each game.
I'll try and break down my interpretation a bit further.

Each team is playing games against six other teams within it's division, five of which have five games apiece, one of which has four. There's an odd number of games against and odd number of teams. Unsurprisingly, this ends up as an odd number.

In this case, the each team plays against 5 teams within their own division five times, which gives you a cumulative total of 175 games. (7*5*5 = 175)

Each team then plays against 1 team within their own division four times, which gives you a cumulative total of 175 games. (7*1*4 = 28)

175+28 = 203

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