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
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Algebra.Com's Answer #773920 by ikleyn(52787)![]() ![]() 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\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( " |