Algebra.Com's Answer #827273 by ikleyn(52800)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "In choosing what music to play at a charity fund raising event,
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document.write( "Cory needs to have an equal number of symphonies from Haydn, Mendelssohn, and Mahler.
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document.write( "If he is setting up a schedule of the 12 symphonies to be played,
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document.write( "and he has 104 Haydn, 17 Mendelssohn, and 9 Mahler symphonies from which to choose,
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document.write( "how many different schedules are possible?
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document.write( "Express your answer in scientific notation rounding to the hundredths place.
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document.write( "Cory can choose 4 symphonies from 104 symphonies by Haydn in  = 4598126 different ways.\r\n" );
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document.write( "Cory can choose 4 symphonies from 17 symphonies by Mendelssohn in  = 2380 different ways.\r\n" );
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document.write( "Cory can choose 4 symphonies from 9 symphonies by Mahler in  = 126 different ways.\r\n" );
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document.write( "So, Cory can combine  = 4598126 * 2380 * 126 = 1378886024880\r\n" );
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document.write( "different sets of 12 symphonies taking 4 symphonies of each of the three famous composers.\r\n" );
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document.write( " | But this number is not yet the number of all possible schedules. |\r\n" );
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document.write( "To get the number of all possible schedules, we should take every of these 1378886024880 sets\r\n" );
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document.write( "and make it a subject of all possible 12! = 12*11*10*9*8*7*6*5*4*3*2*1 = 479001600 permutations.\r\n" );
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document.write( "After this permutization of each of 1378886024880 sets, we get the total number of all possible schedules\r\n" );
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document.write( " * 12! = 1378886024880 * 479001600 =  schedules. \r\n" );
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document.write( "You can round this number to the requested form and get the ANSWER : there are  different possible schedules.\r\n" );
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document.write( "Solved.\r
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