document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909846>Question 909846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a class is containing 10 women and 7 men.<BR>\n" );
document.write( "(a) In how many different ways can a team of 6 be chosen from the class?<BR>\n" );
document.write( "(b) What if the team must contain exactly 4 women?<BR>\n" );
document.write( "(c) What if the team must contain at least 4 women? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552047 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=552047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose a class is containing 10 women and 7 men.<BR>\n" );
document.write( " (a) In how many different ways can a team of 6 be chosen from the class?<BR>\n" );
document.write( "Ans: 17C6 = 12376 ways<BR>\n" );
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document.write( " (b) What if the team must contain exactly 4 women?<BR>\n" );
document.write( "# of ways to succeed:: 10C4*7C2 = 4410<BR>\n" );
document.write( "P(4 w and 2 m) = 4410/12376<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( " (c) What if the team must contain at least 4 women?<BR>\n" );
document.write( "# of ways to succeed 4410 + 10C5*7C1 + 10C6 = 6384<BR>\n" );
document.write( "P(at least 4 w) = 6384/12376<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );