document.write( "Question 1209585: The number of ways to seat 3 students, 2 male teachers, and 4 female teachers around a round table with 10 chairs is how much?\r
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Algebra.Com's Answer #849572 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Round table problems always falsely assume that the round table is placed on a\r\n" );
document.write( "huge turntable. That's not the way it is in reality, but that's the way it is\r\n" );
document.write( "always assumed to be in all round table problems in all algebra books I've ever\r\n" );
document.write( "seen in all my 40+ years of teaching math. Thus for any seating arrangement,\r\n" );
document.write( "turning the turntable in any direction does not alter the seating arrangement.  \r\n" );
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document.write( "There are 10 people. [It makes no difference whether they are students, female\r\n" );
document.write( "teachers, or male teachers].  Choose 1 person to sit facing north.\r\n" );
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document.write( "[Remember, it doesn't matter which person sits facing north at first, because\r\n" );
document.write( "the turntable could be turned so that anybody could face north. So even though\r\n" );
document.write( "that person could be picked to face north at first 10 ways, it does not matter\r\n" );
document.write( "which person you pick. So be sure not to think you could pick that person 10\r\n" );
document.write( "ways.\r\n" );
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document.write( "(If you did choose that person 10 ways, you'd then have to divide that 10 by the\r\n" );
document.write( "10 ways to turn the turntable so that each of the 10 would have a chance to be\r\n" );
document.write( "facing north, so it's just 1 choice to choose somebody to sit facing north.)]\r\n" );
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document.write( "Then seat the other 9 people in the other 9 chairs in 9! ways. \r\n" );
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document.write( "Answer 9! = 362880 ways.\r\n" );
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document.write( "Edwin
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