document.write( "Question 1204916: How many distinct line segments are formed by connecting 20 collinear points? \n" ); document.write( "

Algebra.Com's Answer #841450 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "How many distinct line segments are formed by connecting 20 collinear points?
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document.write( "Every point from this set of 20 points is connected by the line segments with 19 other points.\r\n" );
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document.write( "So, the number of all possible connections is  20*19 = 380.\r\n" );
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document.write( "Each such connecting segment  is counted twice at this way of counting.\r\n" );
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document.write( "So, we need divide 380 by 2 to get the answer   = 190.\r\n" );
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document.write( "ANSWER.  190 segments.\r\n" );
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