document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199702>Question 199702</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013133798x/algebrahomeworkh>algebra 2 with trigonmetry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> question:How many lines are determined by 8 points, no 3 of which are collinear? how many triangles are determined by the same points if no 4 are coplanar. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150088 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorvolunteer><B>tutorvolunteer(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorvolunteer><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first part of the question uses combinations. Since running a line through points A and B makes no difference from running a line through points B and A, we know this is a combination problem (not a permutation problem) since order does not matter.\r<BR>\n" );
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document.write( "Therefore,  2 Choose 8  is the number of lines determined by 8 points, since a line consists of only 2 points.\r<BR>\n" );
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document.write( "The second part of the question uses the same concept, only now, 3 points are involved (consisting of the triangle's vertices.)  3 Choose 8.  </SPAN>\n" );
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