Algebra.Com's Answer #620281 by KMST(5328)![\"\"](\"/images/stars/stars-13.gif\")  
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There are  ways that 6 people can be lined up to get on the bus.
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document.write( "(That is because there are 6 ways to choose who is first,
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document.write( "for each of those choices, there are 5 ways to choose who is second,
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document.write( "and so on).\r
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document.write( "There are  ways to line up 6 people placing together the 2 people who refuse to be next to each other.
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document.write( "{That is because there are  ways to arrange the other 4 people,
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document.write( " ways to arrange the 2 people who refuse to be next to each other,
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document.write( "and  places to insert the problem pair in the line formed by tho other 4).\r
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document.write( "Since  of the  ways that 6 people can be lined up to get on the bus place together the 2 people refuse to be next to each other,
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document.write( "there are  ways to line up the 6 people keeping apart the 2 people who refuse to be next to each other. \n" );
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