document.write( "Question 840893: How many different words can be made from the letter in SOCCER if only 4 letters are used? \n" ); document.write( "

Algebra.Com's Answer #506534 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
How many different words can be made from the letter in SOCCER if only 4 letters are used?
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document.write( "There are three cases:\r\n" );
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document.write( "1. Using no C's. That's the permutations of {S,O,E,R} or 4! = 24  \r\n" );
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document.write( "2. Using 1 C. We choose the other 3 letters from {S,O,E,R} in C(4,3)=4 ways\r\n" );
document.write( "   That's 4·4! = 4·24 = 96 ways\r\n" );
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document.write( "3. Using 2 C's: We choose the other 2 letters from {S,O,E,R} C(4,2)=6 ways\r\n" );
document.write( "   There are 2 indistinguishable C's, so that's 6· = 6· = 6·12 = 72 ways \r\n" );
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document.write( "Answer = 24+96+72 = 192 ways.\r\n" );
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document.write( "Thanks to my computer program, here are all 192 in\r\n" );
document.write( "alphabetical order 12 rows by 16  (12×16=192)\r\n" );
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document.write( "CCEO CCER CCES CCOE CCOR CCOS CCRE CCRO CCRS CCSE CCSO CCSR CECO CECR CECS CEOC\r\n" );
document.write( "CEOR CEOS CERC CERO CERS CESC CESO CESR COCE COCR COCS COEC COER COES CORC CORE\r\n" );
document.write( "CORS COSC COSE COSR CRCE CRCO CRCS CREC CREO CRES CROC CROE CROS CRSC CRSE CRSO\r\n" );
document.write( "CSCE CSCO CSCR CSEC CSEO CSER CSOC CSOE CSOR CSRC CSRE CSRO ECCO ECCR ECCS ECOC\r\n" );
document.write( "ECOR ECOS ECRC ECRO ECRS ECSC ECSO ECSR EOCC EOCR EOCS EORC EORS EOSC EOSR ERCC\r\n" );
document.write( "ERCO ERCS EROC EROS ERSC ERSO ESCC ESCO ESCR ESOC ESOR ESRC ESRO OCCE OCCR OCCS\r\n" );
document.write( "OCEC OCER OCES OCRC OCRE OCRS OCSC OCSE OCSR OECC OECR OECS OERC OERS OESC OESR\r\n" );
document.write( "ORCC ORCE ORCS OREC ORES ORSC ORSE OSCC OSCE OSCR OSEC OSER OSRC OSRE RCCE RCCO\r\n" );
document.write( "RCCS RCEC RCEO RCES RCOC RCOE RCOS RCSC RCSE RCSO RECC RECO RECS REOC REOS RESC\r\n" );
document.write( "RESO ROCC ROCE ROCS ROEC ROES ROSC ROSE RSCC RSCE RSCO RSEC RSEO RSOC RSOE SCCE\r\n" );
document.write( "SCCO SCCR SCEC SCEO SCER SCOC SCOE SCOR SCRC SCRE SCRO SECC SECO SECR SEOC SEOR\r\n" );
document.write( "SERC SERO SOCC SOCE SOCR SOEC SOER SORC SORE SRCC SRCE SRCO SREC SREO SROC SROE\r\n" );
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document.write( "But the only ones that are really words are CORE, ORES, ROSE, and SORE,\r\n" );
document.write( "but then EROS is the god of love, and maybe ROES are different kinds of fish\r\n" );
document.write( "eggs.  There was a fictitious bird called a ROC, so if you had more than one of\r\n" );
document.write( "them they would be ROCS. And of course a CROC is a crocodile. But I'm sure your\r\n" );
document.write( "teacher didn't mean real words!  Hahahaha!\r\n" );
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document.write( "Edwin

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