document.write( "Question 544179: There are twenty women and fifteen men at a party. In how many distinct ways can you form ten couples consisting of one man and one woman?\r
\n" ); document.write( "\n" ); document.write( "***\r
\n" ); document.write( "\n" ); document.write( "I thought it would be 15C10 * 20C10 * 10! - you choose the men and the women; then the first woman has ten choices, the second has nine, etc. However, I'm not sure what really distinguishes this from a basic Fundamental Counting Theorem problem once you have chosen the men and women; under that interpretation, the 10! is unnecessary.\r
\n" ); document.write( "\n" ); document.write( "Thank you!
\n" ); document.write( "

Algebra.Com's Answer #355133 by sudhanshu_kmr(1152)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Yes, u r right. \r
\n" ); document.write( "\n" ); document.write( "total number of ways = 15C10 * 20C10 * 10!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if any doubt, feel free to contact..
\n" ); document.write( "
\n" );