document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421111>Question 421111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 10 points A, B, C, …in a plane, no three on the same line. i) How many triangles are determined by these points? ii) How many of these triangles contain the point A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294116 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=294116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  There are 10 points A, B, C, …in a plane, no three on the same line. \r<BR>\n" );
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document.write( "i) How many triangles are determined by these points? <BR>\n" );
document.write( "3 non-collinear points  determine a triangle.<BR>\n" );
document.write( "# of triangles = 10C3 = (10*9*8)/(1*2*3) = 120<BR>\n" );
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document.write( "ii) How many of these triangles contain the point A?<BR>\n" );
document.write( "A plus 2 more points determine a triangle.<BR>\n" );
document.write( "# of triangles = 9C2 = (9*8)/(1*2) = 36<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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