document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162099>Question 1162099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 6 boys and 6 girls in the finals of a talent contest. A contest is held to pick the top 3 winners in both the boy and girl groups in order of talent. How many different options for winners are there?\r<BR>\n" );
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document.write( "Multiple choice answers:<BR>\n" );
document.write( "a. 27,000<BR>\n" );
document.write( "b. 12,200<BR>\n" );
document.write( "c. 14,400<BR>\n" );
document.write( "d. 32,000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785834 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "In this one, order counts, so you need the Permutations of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> things taken <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> at a time.\r<BR>\n" );
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document.write( "For the boys, there are 6 ways to choose first place and for each of those ways, there are 5 ways to choose second place for a total of 30 ways to choose first and second.  Then, for each of those 30 ways, there are 4 ways to choose third place for a total of 120 ways to choose the three top boys in order.\r<BR>\n" );
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document.write( "The same calculation for the girls.\r<BR>\n" );
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document.write( "For each of the 120 ways to choose the boys, there are 120 ways to choose the girls.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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