document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=226157>Question 226157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pool of possible jurors consists of 11 men and 16 women. How many different juries consisting of 5 men and 7 women are possible?\r<BR>\n" );
document.write( "\n" );
document.write( "A) 17,383,860<BR>\n" );
document.write( "B) 6,652,800<BR>\n" );
document.write( "C) 5,285,280<BR>\n" );
document.write( "D) 24,036,660 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168504 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=168504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "First, pick the men.  How many ways to pick 5 things out of 11 things?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(11\cr\, 5\right)\ =\ \frac{11!}{5!(11-5)!}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then for each of those ways, how many ways are there to select 7 women from 16 women.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Same sort of calculation, different numbers:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(16\cr\, 7\right)\ =\ \frac{16!}{7!(16-7)!}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Do the calculations and then multiply the two results.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );