document.write( "Question 39553: A band has 4 trumpets, 3 trombones, 3 saxophones & 2 drums. If each section has its own set of seats, in how many ways can the 12 band members be seated? \n" ); document.write( "
Algebra.Com's Answer #25053 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
A band has 4 trumpets, 3 trombones, 3 saxophones & 2 drums. If \r\n" );
document.write( "each section has its own set of seats, in how many ways can the \r\n" );
document.write( "12 band members be seated?\r\n" );
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document.write( "Instruments:   TRUMPETS      TROMBONES    SAXOPHONES     DRUMS\r\n" );
document.write( "Seats:           ABCD           EFG          HIJ          KL\r\n" );
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document.write( "We can choose who sits in seat A any of 4 ways, so far that's \r\n" );
document.write( "4 ways, then\r\n" );
document.write( "We can choose who sits in seat B any of 3 ways, so far that's    \r\n" );
document.write( "4·3 ways, then\r\n" );
document.write( "We can choose who sits in seat C any of 2 ways, so far that's      \r\n" );
document.write( "4·3·2 ways, then\r\n" );
document.write( "We can choose who sits in seat D only 1 way, so far that's        \r\n" );
document.write( "4·3·2·1 ways, then\r\n" );
document.write( "We can choose who sits in seat E any of 3 ways, so far that's   \r\n" );
document.write( "4·3·2·1·3 ways, then\r\n" );
document.write( "We can choose who sits in seat F any of 2 ways, so far that's  \r\n" );
document.write( "4·3·2·1·3·2 ways, then\r\n" );
document.write( "We can choose who sits in seat G only 1 way, so far that's  \r\n" );
document.write( "4·3·2·1·3·2·1 ways, then\r\n" );
document.write( "We can choose who sits in seat H any of 3 ways, so far that's  \r\n" );
document.write( "4·3·2·1·3·2·1·3 ways, then\r\n" );
document.write( "We can choose who sits in seat I any of 2 ways, so far that's  \r\n" );
document.write( "4·3·2·1·3·2·1·3·2 ways, then\r\n" );
document.write( "We can choose who sits in seat J only 1 way, so far that's  \r\n" );
document.write( "4·3·2·1·3·2·1·3·2·1 ways, then\r\n" );
document.write( "We can choose who sits in seat K any of 2 ways, so far that's  \r\n" );
document.write( "4·3·2·1·3·2·1·3·2·1·2 ways, then\r\n" );
document.write( "We can choose who sits in seat L only 1 way, so far that's \r\n" );
document.write( "4·3·2·1·3·2·1·3·2·1·2·1 ways.\r\n" );
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document.write( "Thats 1728 ways.\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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