document.write( "Question 739481: Please help me solve this problem. \r
\n" ); document.write( "\n" ); document.write( "How many ways are there to pair off eight women at the dance with eight of these 12 men?\r
\n" ); document.write( "\n" ); document.write( "This is what I have so far, but I think I have it wrong. Thank you in advance.
\n" ); document.write( "=n∁r
\n" ); document.write( "=12C8
\n" ); document.write( "= 12!
\n" ); document.write( " 4! 8!
\n" ); document.write( "= 12*11*10*9
\n" ); document.write( " 4*3*2*1
\n" ); document.write( "=495 combinations
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #451130 by Ed McCravy(3)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "This is permutation problem, not a combination problem.\r\n" );
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document.write( "Here is why:\r\n" );
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document.write( "The women are W1, W2, W3, W4, W5, W6, W7, W8\r\n" );
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document.write( "Think of them lined up in that order. Not only do you\r\n" );
document.write( "just choose 8 of the 12 men to dance with these 8 women,\r\n" );
document.write( "but you have to place them in a certain order with these\r\n" );
document.write( "women.\r\n" );
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document.write( "So the answer is 12P8, or 19,958,400.\r\n" );
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document.write( "[Your answer would have been correct if they weren't dancing\r\n" );
document.write( "but were just forming a committee of 16 with 8 men and 8 women.]\r\n" );
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document.write( "Edwin
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