document.write( "Question 250716: In a 9 team league where everyone plays each other once, I figured there would be 36 games total. Was I correct? But I did not use an equation, I drew it out. What is the simple way to figure the number of games played regardless of the number of teams? \n" ); document.write( "
Algebra.Com's Answer #182601 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
There are 9 teams and each team must play at least 8 games each. So that would make you think there are at least 72 games. But we only need one of AB and BA.
\n" ); document.write( "So we have
\n" ); document.write( "9!
\n" ); document.write( "over (9-2)! 2!
\n" ); document.write( "9!
\n" ); document.write( "over 7!*2!
\n" ); document.write( "which works out to be 9*8/2=36\r
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