document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84652>Question 84652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you are making a jam using 3 fruit and you have 10 fruits to choose from, how many different jams could you make? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60973 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=60973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In this problem, the key word is \"choose\".  When you \"choose\", usually the order is NOT important.  Therefore, when the word \"choose\" is used, it almost ALWAYS means that it is a COMBINATION.  (See the solution that I posted a few minutes ago explaining the difference between a COMBINATION and a PERMUTATION.  \r<BR>\n" );
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document.write( "This will be a combination of 10 fruits, choosing 3 at a time, or a C(10,3).  Again, most calculators will do this for you, but in case you need to do it without a calculator, you start out as with a permutation with 3 spaces:\r<BR>\n" );
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document.write( "Remember that with a permutation it will be:\r<BR>\n" );
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document.write( "P(10,3)= ___*___*___<BR>\n" );
document.write( "P(10,3)= 10*9*8=720\r<BR>\n" );
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document.write( "Now, a combination is similar.  Make 3 spaces.<BR>\n" );
document.write( "C(10,3) = ___*___*___\r<BR>\n" );
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document.write( "What is different with a combination, is that you must ALSO divide by 3*2*1.  It looks like this:\r<BR>\n" );
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document.write( "C(10,3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F2 ALIGN=MIDDLE  ALT=\"9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F1 ALIGN=MIDDLE  ALT=\"8%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=720%2F6=120 ALIGN=MIDDLE  ALT=\"720%2F6=120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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