document.write( "Question 607074: We have 6 golfers, we are playing together over six days, split into 2 teams of 3
\n" ); document.write( "Larry
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Algebra.Com's Answer #382467 by Edwin McCravy(20055) $\"\"$ $\"About$

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Larry, John, Peter, Brian, Trevor, Mike
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document.write( "Pick one of the golfers, say Larry, as the chooser of \r\n" );
document.write( "his two team-mates. Any choice Larry makes for his two \r\n" );
document.write( "team-mates will determine both teams.  That's because\r\n" );
document.write( "Larry will play with the two golfers he chose as \r\n" );
document.write( "team-mates, and the 3 that he didn't choose will make\r\n" );
document.write( "up the other team.\r\n" );
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document.write( "The number of ways Larry can choose his 2 team-mates \r\n" );
document.write( "from the 5 is:\r\n" );
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document.write( "C(5,2), 5C2, , i.e., the number of \r\n" );
document.write( "combinations of 5 things 2 at a time.\r\n" );
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document.write( "Different teachers and different text-books use different \r\n" );
document.write( "notations for this. Some just say \"5 Choose 2\". \r\n" );
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document.write( "On the TI-83 and 84 calculators you type\r\n" );
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document.write( "5 nCr 2  then press ENTER.  (You get the nCr by pressing \r\n" );
document.write( "MATH, left arrow, 3).  \r\n" );
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document.write( "But regardless of what notation you use, or whether you use\r\n" );
document.write( "the calculator, the formula  or   you will get\r\n" );
document.write( "10 ways.  Here they are, using only the golfers' initials:\r\n" );
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document.write( " 1. Team {L,J,P} and {B,T,F} play.\r\n" );
document.write( " 2. Team {L,J,B} and {P,T,F} play.\r\n" );
document.write( " 3. Team {L,J,T} and {B,P,F} play.\r\n" );
document.write( " 4. Team {L,J,F} and {B,T,P} play.\r\n" );
document.write( " 5. Team {L,P,B} and {J,T,F} play.\r\n" );
document.write( " 6. Team {L,P,T} and {J,B,F} play.\r\n" );
document.write( " 7. Team {L,P,F} and {J,B,T} play.\r\n" );
document.write( " 8. Team {L,B,T} and {J,P,F} play.\r\n" );
document.write( " 9. Team {L,B,F} and {J,P,T} play.\r\n" );
document.write( "10. Team {L,T,F} and {J,B,P} play.\r\n" );
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document.write( "Edwin

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