document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088488>Question 1088488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. If there are 7 points in a plane, no three of which are collinear, how many distinct lines can be formed by connecting two of those points> <BR>\n" );
document.write( "a. 18 b.20 c.21 d.22\r<BR>\n" );
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document.write( "2. How many combinations of three dishes can be prepared if you have the recipes for 10 dishes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702739 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</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=702739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "1. If there are 7 points in a plane, no three of which are collinear, how many distinct lines can be formed <BR>\n" );
document.write( "by connecting two of those points ?\r<BR>\n" );
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document.write( "a. 18  \r\n" );
document.write( "b. 20 \r\n" );
document.write( "c. 21 \r\n" );
document.write( "d. 22\r\n" );
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document.write( "You can draw one and only one straight line through each pair of these points.\r<BR>\n" );
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document.write( "Therefore, the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A6%29%2F2 ALIGN=MIDDLE  ALT=\"%287%2A6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7*3 = 21.\r<BR>\n" );
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document.write( "It is the number of combination of 7 items taken 2 at a time: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B7%5D%5E2 ALIGN=MIDDLE  ALT=\"C%5B7%5D%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 21.\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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document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic \"<U>Combinatorics: Combinations and permutations</U>\". \r<BR>\n" );
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document.write( " </SPAN>\n" );
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