document.write( "Question 28791: The Columbus Crew are playing the D.C. United in a best three-out-of-five championship soccer series.
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document.write( "What are the possible outcomes of the series?
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document.write( "How many ways can D.C. United win the championship? \n" );
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Algebra.Com's Answer #15755 by josmiceli(19441) You can put this solution on YOUR website! I count 10 ways that either of the teams could win \n" ); document.write( "there are 4 ways that either teams could win without going to a 5th game \n" ); document.write( "------------------- \n" ); document.write( "w---w---w \n" ); document.write( "w---w---l---w \n" ); document.write( "w---l---w---w \n" ); document.write( "l---w---w---w \n" ); document.write( "------------------- \n" ); document.write( "I count 6 ways either team could win in 5 games \n" ); document.write( "------------------- \n" ); document.write( "l---l---w---w---w \n" ); document.write( "l---w---l---w---w \n" ); document.write( "l---w---w---l---w \n" ); document.write( "w---w---l---l---w \n" ); document.write( "w---l---w---l---w \n" ); document.write( "w---l---l---w---w \n" ); document.write( "-------------------- \n" ); document.write( "A losing outcome like \n" ); document.write( "w---l---w---l---l \n" ); document.write( "just means the other team won with opposite results \n" ); document.write( "l---w---l---w---w \n" ); document.write( "which is one of the 10 winning outcomes \n" ); document.write( "since both teams have 10 possible ways to win, there are 20 possible outcomes \n" ); document.write( "and dc United can win 10 possible ways \n" ); document.write( " |