document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105438>Question 1105438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The seats at a round table are numbered from 1 to 7. Find the number of ways in which a commitee consisting of four men and three women can be seated at the table.<BR>\n" );
document.write( "(a) if there are no restrictions <BR>\n" );
document.write( "(b) if all men sit together </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720293 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) 7! = 5040, since all the chairs are numbered<BR>\n" );
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document.write( "Note if the chairs are not numbered, then the answer is (7-1)! = 720<BR>\n" );
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document.write( "b) the 4 men in one group can be arranged in 4! = 24 ways<BR>\n" );
document.write( "the one group of 4 men and the 3 women can be arranged in 3+1 = 4! = 24 ways<BR>\n" );
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document.write( "Note it is 3+1 because the chairs are numbered<BR>\n" );
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document.write( "therefore,<BR>\n" );
document.write( "if all 4 men sit together, there are 4! * 4! = 24^2 = 576 ways <BR>\n" );
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