document.write( "Question 770591: In how many ways can n women be seated in a row so that 2 particular women will not be
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Algebra.Com's Answer #469646 by Edwin McCravy(20056) $\"\"$ $\"About$

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In how many ways can n women be seated in a row so that 2 particular women will not be
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document.write( "The number of ways anybody can sit anwhere is n!\r\n" );
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document.write( "The number of ways the two women sit together, is to think of those two\r\n" );
document.write( "women as 1 pair.  Then there are n-2 individuals and 1 pair, making n-1\r\n" );
document.write( "\"things\" to sit in a row, so that is (n-1)!.  \r\n" );
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document.write( "However the two women can sit together in two ways, the 1st woman on \r\n" );
document.write( "the left and 2nd woman on the right or vice-versa.  So we must multiply\r\n" );
document.write( "(n-1)! by 2.\r\n" );
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document.write( "Answer:  n! - 2(n-1)! \r\n" );
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document.write( "Edwin

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