document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198659>Question 1198659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> from a group of 6 mean and 8 women, 5 people are chosen at random.<BR>\n" );
document.write( "find the probability that there are more men chosen that women\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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 #832285 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "More men than women means the number of men chosen is 3, 4, or 5.<br><BR>\n" );
document.write( "Number of ways to choose 5 of the 14 people:<BR>\n" );
document.write( "C(14,5) [1].<br><BR>\n" );
document.write( "Number of ways to choose 3 of the 6 men and 2 of the 8 women:<BR>\n" );
document.write( "C(6,3)*C(8,2) [2].<br><BR>\n" );
document.write( "Number of ways to choose 4 of the 6 men and 1 of the 8 women:<BR>\n" );
document.write( "C(6,4)*C(8,1) [3].<br><BR>\n" );
document.write( "Number of ways to choose 5 of the 6 men and 0 of the 8 women:<BR>\n" );
document.write( "C(6,5)*C(8,0) [4].<br><BR>\n" );
document.write( "Probability of choosing more men than women:<BR>\n" );
document.write( "([2]+[3]+[4])/[1]<br><BR>\n" );
document.write( "Straightforward calculations that you can do without our help....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );