document.write( "Question 495631: From a group of 12 people I am to form 4 teams of 3 players each. In how many ways can this be done. (This is closely related to the previous problem, but note that the teams are not ordered.\r
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document.write( "I tried doing (12x11x10x9)/(3x2x1)
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document.write( "and
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document.write( "12!/4!3!
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document.write( "but both are wrong \n" );
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Algebra.Com's Answer #336212 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! From a group of 12 people I am to form 4 teams of 3 players each. In how many ways can this be done. \n" ); document.write( "--- \n" ); document.write( "# of ways to form the 1st team of 3: 12C3 = (12*11*10)/(1*2*3) = 220 ways \n" ); document.write( "--- \n" ); document.write( "# of ways to form the 2nd team: 9C3 = (9*8*7)/(1*2*3) = 84 ways \n" ); document.write( "--- \n" ); document.write( "# of ways to form the 3rd team: 6C3 = (6*5*4)/(1*2*3) = 20 ways \n" ); document.write( "--- \n" ); document.write( "# of ways to form the 4th team: 3C3 = 1 way \n" ); document.write( "------------------------------------------------ \n" ); document.write( "Total # of ways: 220*84*20*1 = 369,600 \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |