document.write( "Question 839205: In how many ways can you arrange 4 boys and 4 girls in a row of 8 seats if one boy and a girl will insist not to be seated together .\r
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Algebra.Com's Answer #505592 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
First, think about how many ways there
\n" ); document.write( "are for the 1 boy and the 1 girl to
\n" ); document.write( "sit together in the 8 seats
\n" ); document.write( "You can make 7 adjacent pairs out of
\n" ); document.write( "the 8 seats. That is the possible ways
\n" ); document.write( "they can sit together
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\n" ); document.write( "If you forget about these two, there are
\n" ); document.write( "\"+4+%2B+4+=+8+\" ways to fill the 1st
\n" ); document.write( "seat, then there are \"7\" ways to fill the
\n" ); document.write( "2nd seat, \"6\" ways to fill the 3rd seat, etc
\n" ); document.write( "That is:
\n" ); document.write( "\"+8%2A7%2A6%2A5%2A4%2A3%2A2%2A1+=+40320+\" ways to
\n" ); document.write( "seat the 4 boys and 4 girls in 8 seats
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\n" ); document.write( "Now subtract the 7 ways that the 1 boy and
\n" ); document.write( "1 girl can sit together
\n" ); document.write( "\"+40320+-+7+=+40313+\"
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\n" ); document.write( "I think this is right- you might get a 2nd
\n" ); document.write( "opinion, though
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