document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970097>Question 970097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An employer interviews <BR>\n" );
document.write( "10<BR>\n" );
document.write( " people for <BR>\n" );
document.write( "5<BR>\n" );
document.write( " management positions in a company, and <BR>\n" );
document.write( "5<BR>\n" );
document.write( " of the <BR>\n" );
document.write( "10<BR>\n" );
document.write( " people are men. If all <BR>\n" );
document.write( "10<BR>\n" );
document.write( " are qualified, in how many ways can the employer fill the management positions if exactly <BR>\n" );
document.write( "2<BR>\n" );
document.write( " are men?<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592784 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 10 ways that 2 of the 5 people chosen are men.  5C2 =10<BR>\n" );
document.write( "1,2<BR>\n" );
document.write( "1,3<BR>\n" );
document.write( "1,4<BR>\n" );
document.write( "1,5<BR>\n" );
document.write( "2,3<BR>\n" );
document.write( "2,4<BR>\n" );
document.write( "2,5<BR>\n" );
document.write( "3,4<BR>\n" );
document.write( "3,5<BR>\n" );
document.write( "4,5\r<BR>\n" );
document.write( "\n" );
document.write( "Look at the first and last<BR>\n" );
document.write( "5/10 * 4/9 *5/8*4/7*3/6 MMWWW\r<BR>\n" );
document.write( "\n" );
document.write( "5/10 * 4/9 *3/8*5/7*4/6  WWWMM\r<BR>\n" );
document.write( "\n" );
document.write( "The products of these are identical, even though the fractions are different.\r<BR>\n" );
document.write( "\n" );
document.write( "The product is 1200/30240 for each.<BR>\n" );
document.write( "There are 10.<BR>\n" );
document.write( "The probability is 1200/3024<BR>\n" );
document.write( "P=0.397 or 0.40 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );