document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984525>Question 984525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee of three is chosen from among the five professors – Dr. Smith, <BR>\n" );
document.write( "                   Dr. Andrews, Dr. Joalvz, Dr.Fritz  and Dr. Burke. What is the probability that <BR>\n" );
document.write( "                   Dr. Burke is on the committee?       Show solution.<BR>\n" );
document.write( "                       A) 1/5   B) 2/5   C) ½    D) 3/5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605543 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=605543\">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( "The total number of 3 person committees possible given a pool of 5 potential members is given by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE {{5}\choose{3}}\">.  The number of 3 person committees possible if Dr. Burke is excluded is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE {{4}\choose{3}}\">.  Consequently, the probability that Burke will be on the committee is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ {{5}\choose{3}}\ -\ {{4}\choose{3}}\">\r<BR>\n" );
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document.write( "Divided by\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ {{5}\choose{3}}\">\r<BR>\n" );
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document.write( "Just do the arithmetic.  If the notation is unfamiliar, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE {{n}\choose{k}} =\ \frac{n!}{k!(n-k)!}\">\r<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\r<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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