document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91194>Question 91194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From 9 mathematicians and 6 physicists a committee of 4 mathematicians and 3 physicists is to be formed.What is the probability that commitee has <BR>\n" );
document.write( "a) 3 particular mathematicians b)one particular physicist </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66294 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=66294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From 9 mathematicians and 6 physicists a committee of 4 mathematicians and 3 physicists is to be formed.What is the probability that commitee has <BR>\n" );
document.write( "a) 3 particular mathematicians b)one particular physicist<BR>\n" );
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document.write( "Mathematicians:<BR>\n" );
document.write( "I'm going to assume the selector knows which 9 are mathematicians and<BR>\n" );
document.write( "which 6 are physicists.  If he/she doesn't the problem is quite different.<BR>\n" );
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document.write( "Pick the special three then pick one more to get four:<BR>\n" );
document.write( "P(pick the three) = 1/9C3 = 1/64<BR>\n" );
document.write( "P(pick one more) = 6/6 = 1<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Physicists:<BR>\n" );
document.write( "Pick the special one then pick two others:<BR>\n" );
document.write( "P(pick the special one) = 1/6<BR>\n" );
document.write( "P(pick 2 others) = (5/5)(4/4)=1<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Prob(the combined event) = 1/64 * 1/6 = 1/504 = 0.00198...<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Let me know if this is the answer you have and/or whether<BR>\n" );
document.write( "my assumption is wrong. If you have another solution I <BR>\n" );
document.write( "would like to see it.<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );