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Mathematics : asked on joe805
 30.07.2020

in a sport leaugue, there are 20 total teams, divided into 4 divisions of 5 teams each. Over the course of a season, each team plays each of the other teams in its own division 3 times, and each of the other teams in the other divisions twice. How many games does the leaugue have in a complete season? What if 5 additional teams were added

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18.01.2022, solved by verified expert
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Ranjana Bhatt
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Each team plays 4×3 = 12 games within its division and 

 15×2 = 30 games outside its division. 

This initially sounds like a total 20(12+30) = 840 games, 

but keep in mind that that counts each game twice (once for each team), so the correct total is 20(12+30)/2 = 420.

If 5  additional teams were adde

each team plays 4×3 = 12 games within its division and 20×2= 40 games outside its division. This initially sounds like a total 25(12+40)= 1300 games, but keep in mind that that counts each game twice (once for each team), so the correct total is 25(12+40)/2 = 650.

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