document.write( "Question 943342: A voice teacher selects 9 students from the class to sing for the trustees. The class has 12 men and 13 women. In how many ways can 9 students be selected and arranged in a row with 5 men in the middle and 2 women on each end? \n" ); document.write( "
Algebra.Com's Answer #575339 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Order matters, so we use permutations.  \r\n" );
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document.write( "13 women Position 4 = 13P4 \r\n" );
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document.write( "times\r\n" );
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document.write( "12 men Position 5 = 12P5\r\n" );
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document.write( "(13P4)(12P5) = (17160)(95040) = 1630886400.\r\n" );
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document.write( "If you don't understand that, look at it this way:\r\n" );
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document.write( "They stand in this order:\r\n" );
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document.write( "W1,W2,M1,M2,M3,M4,M5,W3,W4\r\n" );
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document.write( "Choose W1 any of the 13 women.\r\n" );
document.write( "Choose W2 any of the remaining 12 women.\r\n" );
document.write( "Choose W3 any of the remaining 11 women.\r\n" );
document.write( "Choose W4 any of the remaining 10 women.\r\n" );
document.write( "Choose M1 any of the 12 men.\r\n" );
document.write( "Choose M2 any of the remaining 11 men.\r\n" );
document.write( "Choose M3 any of the remaining 10 men.\r\n" );
document.write( "Choose M4 any of the remaining 9 men.\r\n" );
document.write( "Choose M5 any of the remaining 8 men.\r\n" );
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document.write( "That's (13*12*11*10)*(12*11*10*9*8) = (13P4)(12P5) = (17160)(95040) = 1630886400 \r\n" );
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document.write( "Edwin
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