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02-26-2013, 06:34 PM
  #863
Grudy0
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Quote:
Originally Posted by Physicist View Post
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
I think you are missing the boat...

In each seven-team division, a pair of teams must play the four games. In a division with an odd number of teams, it may look mathematically possible, but it is impossible:

Los Angeles and Vancouver:
Plays all teams in Pacific five times, except each other only four

Anaheim and Calgary:
Plays all teams in Pacific five times, except each other only four

Phoenix and Edmonton:
Plays all teams in Pacific five times, except each other only four

What about San Jose?

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