document.write( "Question 1161234: There are four girls and six boys in a class. They are arranged randomly at10 seats.\r
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Algebra.Com's Answer #784741 by Edwin McCravy(20063)\"\" \"About 
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There are four girls and six boys in a class. They are arranged randomly at10 seats.\r
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document.write( "Arrange the 4 girls in the first 4 seats in 4! ways.\r\n" );
document.write( "Arrange the 6 boys in the last 6 seats in 6! ways.\r\n" );
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document.write( "4!6! = (4∙3∙2∙1)(6∙5∙4∙3∙2∙1) = 24∙720 = 17280 ways.\r\n" );
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document.write( "Let the 4 girls be G1, G2, G3, G4\r\n" );
document.write( "Let the 6 boys be B1, B2, B3, B4, B5, B6\r\n" );
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document.write( "Three of them are:\r\n" );
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document.write( "1.  G1,G2,G3,G4,B1,B2,B3,B4,B5,B6\r\n" );
document.write( "2.  G4,G2,G3,G1,B5,B6,B3,B2,B1,B4\r\n" );
document.write( "3.  G3,G1,G4,G2,B6,B1,B5,B4,B3,B2\r\n" );
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ii.How many ways are there where a particular boy will be occupied the 7thseat?
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document.write( "Seat the particular boy in the 7th seat.  Then you only have 5 boys to seat.\r\n" );
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document.write( "Arrange the 4 girls in the first 4 seats in 4! ways.\r\n" );
document.write( "Arrange the 5 unseated boys in the last 5 still-vacant seats in 5! ways.\r\n" );
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document.write( "4!5! = (4∙3∙2∙1)(5∙4∙3∙2∙1) = 24∙120 = 2880 ways.\r\n" );
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document.write( "Edwin
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