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The Little Twelve Basketball Conference has two divisions, with six teams in each division. Each team plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled?

 Feb 24, 2021
 #1
avatar+483 
+1

6C2 = 15 pairings. This happens twice though so it's 15 * 2 = 30 matches in one division

Then you need to do the other division, which means you have 30 * 2 = 60 games.

Then there are 6 * 6 games between the two divisions which means your total is 60 + 6 * 6 = 60 + 36 = 96 conference games

 Feb 24, 2021
 #2
avatar+30674 
+1

6 teams must play 5 other teams twice     in each dividsion (2) =     6 x 5 x 2 x 2 =120

    and   6 teams each must play other division 6 teams once  =       6 x 6 x 2 = 72

      this is a total of 192 games....BUT each game involves TWO teams soooo   192/2 = 96 games total

 Feb 24, 2021

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