document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045266>Question 1045266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A horse race has 11 entries and one person owns 4 of those horses. Assuming that there are no&#8203; ties, \r<BR>\n" );
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document.write( "What is the probability that those four horses finish first, second, third, and fourth?&#8203;(regardless of&#8203; order)&#8203;(Round to four decimal places as&#8203; needed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660787 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</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=660787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "As I understand the condition (not very clear presented for those who is unfamiliar with the horse races),<BR>\n" );
document.write( "the space of outcomes is the set of combinations of 4 horses of 11.\r<BR>\n" );
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document.write( "The number of such combinations is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2A10%2A9%2A8%29%2F%281%2A2%2A3%2A4%29 ALIGN=MIDDLE  ALT=\"%2811%2A10%2A9%2A8%29%2F%281%2A2%2A3%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 11*10*3 = 330.\r<BR>\n" );
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document.write( "The probability to have one specific combination of 330 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F330%29 ALIGN=MIDDLE  ALT=\"1%2F330%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "For combinations, see the lesson\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( " </SPAN>\n" );
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