document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064204>Question 1064204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee of seven people is to be selected from a group of 10 men and 8 women. What is the probability that the committee will be made up of:<BR>\n" );
document.write( "a. three men and four women?<BR>\n" );
document.write( "b. at least six men?<BR>\n" );
document.write( "c. at least two women?<BR>\n" );
document.write( "d. at most two women or at least six women?<BR>\n" );
document.write( "e. at most one man or at least five men? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679308 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=679308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A committee of seven people is to be selected from a group of 10 men and 8 women. What is the probability that the committee will be made up of:<BR>\n" );
document.write( "a. three men and four women?<BR>\n" );
document.write( "P(3 men and 4 women) = [10C3*8C4]/[18C7]<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "b. P[at least six men] = [10C6*8C1+10C7]/[18C7]<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "c. P[at least two women] = [8C2*10C5+8C3*10C4+8C4*10C3...+8C7]/[18C7]<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "d. at most two women or at least six women?<BR>\n" );
document.write( "e. at most one man or at least five men?  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );