document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270486>Question 270486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A class has 29 students, of which 5 are seniors. How many committees of size 5 can be selected if at least one member of each committee must be a senior?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198174 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=198174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A class has 29 students, of which 5 are seniors. How many committees of size 5 can be selected if at least one member of each committee must be a senior?<BR>\n" );
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document.write( "P(no senior in group of 5) = 24C5/29C5 = 42504/118755 = 0.3579<BR>\n" );
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document.write( "P(at least one senior) = 1 - P(no senior)<BR>\n" );
document.write( "= 1 - 0.3579<BR>\n" );
document.write( "= 0.6421...<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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