document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050578>Question 1050578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kyle connected four noncoplanar and noncollinear points. How many lines and planes are formed ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666143 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52777)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2A3%29%2F2 ALIGN=MIDDLE  ALT=\"%284%2A3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6.\r<BR>\n" );
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document.write( "Each pair of points determines one line, a unique line.\r<BR>\n" );
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document.write( "So, the number of lines is equal to the number of pairs of points.\r<BR>\n" );
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document.write( "The number of pairs taken from the set of 4 points, is the number of combinations <BR>\n" );
document.write( "of four points taken 2 at a time: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B4%5D%5E2 ALIGN=MIDDLE  ALT=\"C%5B4%5D%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2A3%29%2F2 ALIGN=MIDDLE  ALT=\"%284%2A3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6.\r<BR>\n" );
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document.write( "On combinations, see the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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