document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5079>Question 5079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A music fan randomly selects 4 CD's from a stack of 35, where 6 are by the same pop artist.  What is the probablity that all of the CD's chosen are by that artist? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2581 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=2581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a classic combination problem, where in this probability, the denominator is the total number of ways that 4 CD's can be chosen from 35.  One of several ways to write this is C(35,4).\r<BR>\n" );
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document.write( "The numerator is the number of ways that the fan can choose 4 out of the 6 by the artist, and none out of the other 29 CD's.  Numerator = C(6,4)* C(29,0).  These can easily be calculated with a cheap scientific calculator, or you can spend some time doing it by arithmetic:<BR>\n" );
document.write( "C(35,4) = 52360<BR>\n" );
document.write( "C(6,4) = 15<BR>\n" );
document.write( "C(29,0) = 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28C%286%2C4%29%2A+C%2829%2C0%29%29%2F%28C%2835%2C4%29%29 ALIGN=MIDDLE  ALT=\"++%28C%286%2C4%29%2A+C%2829%2C0%29%29%2F%28C%2835%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2A1%29+%2F+52360 ALIGN=MIDDLE  ALT=\"%2815%2A1%29+%2F+52360\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F+10472 ALIGN=MIDDLE  ALT=\"3%2F+10472\"   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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