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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,884

In a sports league, 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 league have in a complete season?

I said 348 games(12*4)+(150+100+50)=348

(the a.p of 150,100, and 50 comes from a team playing the other divisions twice multiplied by 5(there are 5 teams within each division)

The official solution says 420.

Is it possible to derive 420 utilizing a method similar to mine?

The integral of hope is reality.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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