document.write( "Question 1019783: There are 5 students in a small class. To make a team, the names of 3
\n" ); document.write( " of them will be drawn from a hat. How many different teams of 3 students are possible? \n" ); document.write( "
Algebra.Com's Answer #635744 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "For PERMUTATIONS, we PLACE in POSITIONS.\r\n" );
document.write( "For COMBINATIONS, we merely CHOOSE, we don't place them in positions.\r\n" );
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document.write( "P for permutations, P for Placing in POSITIONS.\r\n" );
document.write( "C for combinations, C for CHOOSING\r\n" );
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\n" ); document.write( "There are 5 students in a small class.
\n" ); document.write( "To make a team, the names of 3 of them will be drawn from a hat.
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document.write( "We are merely CHOOSING them, not POSITIONING them, so its \r\n" );
document.write( "COMBINATIONS.\r\n" );
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document.write( "5 students CHOOSE 3 = 5C3 \"%285%2A4%2A3%29%2F%283%2A2%2A1%29\" = \"60%2F6\" = 10.\r\n" );
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document.write( "Suppose the 5 students are A,B,C,D,E.  The 10 ways to choose 3 are\r\n" );
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document.write( " 1. {A,B,C}\r\n" );
document.write( " 2. {A,B,D}\r\n" );
document.write( " 3. {A,B,E}\r\n" );
document.write( " 4. {A,C,D}\r\n" );
document.write( " 5. {A,C,E}\r\n" );
document.write( " 6. {A,D,E}\r\n" );
document.write( " 7. {B,C,D}\r\n" );
document.write( " 8. {B,C,E}\r\n" );
document.write( " 9. {B,D,E}\r\n" );
document.write( "10. {C,D,E}\r\n" );
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document.write( "Edwin
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