document.write( "Question 492871: If I have 9 variables and three different outcomes for each variable. How many differents outcomes can there be? And what are all the outcomes? For example there are 9 games for that week and the 3 outcomes for each game that can be A:for away team T: for tie and H:for home team. How many different possibilities are there? And what are they? \n" ); document.write( "

Algebra.Com's Answer #335211 by Edwin McCravy(20056) $\"\"$ $\"About$

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If I have 9 variables and three different outcomes for each variable. How many differents outcomes can there be? And what are all the outcomes? For example there are 9 games for that week and the 3 outcomes for each game that can be A:for away team T: for tie and H:for home team. How many different possibilities are there? And what are they?\r
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document.write( "We can choose the Home team any of 3 ways.\r\n" );
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document.write( "For each of those 3 ways, we can choose the away team as either of the 2\r\n" );
document.write( "remaining teams.  That 3×2 or 6 ways to choose the home team and \r\n" );
document.write( "the away team. \r\n" );
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document.write( "For each of those 6 ways we can choose the home and away teams, there are\r\n" );
document.write( "3 ways the score can turn out. That 6×3 or 18 ways to choose the home team and \r\n" );
document.write( "the away team and the game can turn out. \r\n" );
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document.write( "Here are those 18 ways. The teams are A, B, and C.\r\n" );
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document.write( "  Home team       Away team       Winner (or T for tie)\r\n" );
document.write( "1.    A                B                 A\r\n" );
document.write( "2.    A                B                 B\r\n" );
document.write( "3.    A                B                 T                 \r\n" );
document.write( "4.    A                C                 A\r\n" );
document.write( "5.    A                C                 C\r\n" );
document.write( "6.    A                C                 T\r\n" );
document.write( "7.    B                A                 A\r\n" );
document.write( "8.    B                A                 B\r\n" );
document.write( "9.    B                A                 T                 \r\n" );
document.write( "10.   B                C                 B\r\n" );
document.write( "11.   B                C                 C\r\n" );
document.write( "12.   B                C                 T\r\n" );
document.write( "13.   C                A                 A\r\n" );
document.write( "14.   C                A                 C\r\n" );
document.write( "15.   C                A                 T\r\n" );
document.write( "16.   C                B                 B\r\n" );
document.write( "17.   C                B                 C\r\n" );
document.write( "18.   C                B                 T\r\n" );
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document.write( "Edwin

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