document.write( "Question 1152008: There are five people in a room. Each person shakes the hand of every other person exactly one. How many hands shakes are exchanged\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #773920 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Standard (but not unique (!) ) solution to this problem is as follows.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Each person makes  (n-1) handshakes, so your first intention is to answer n*(n-1) handshakes, in all.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But be careful (!)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "By counting in this way, we count each handshake twice, for every of the two hand shakers. \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, we must divide  n*(n-1)  by 2, and then we come to the correct answer:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    the number of handshakes is  \"%28n%2A%28n-1%29%29%2F2\".    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is classic problem (!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "MEMORIZE its solution (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );