document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867228>Question 867228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A class in probability theory consists of 6 men and 4 women.  An examination is given, and the students are ranked according to their performance.  Assume that now two students obtain the same score. a) How many different rankings are possible? b) If the men are ranked just among themselves and the women are ranked just among themselves, how many different rankings are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #522859 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=522859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A class in probability theory consists of 6 men and 4 women. An examination is given, and the students are ranked according to their performance. Assume that now two students obtain the same score. <BR>\n" );
document.write( "a) How many different rankings are possible?:: 10! = 3628800<BR>\n" );
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document.write( "b) If the men are ranked just among themselves and the women are ranked just among themselves, how many different rankings are possible?<BR>\n" );
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document.write( "Ans: 6!*4! = 17280<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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