document.write( "Question 127037: If there are 20 people in a room, and each person shakes hands with everyone exactly once, how many handshakes will there be?\r
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Algebra.Com's Answer #93047 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! each of the 20 people shakes hands with 19 other people __ 20*19=380\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BUT ... Sam shaking hands with Sue is the same as Sue shaking hands with Sam \n" ); document.write( "__ so half of the handshakes are duplicates\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(20*19)/2=190 \n" ); document.write( " |