document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548259>Question 548259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done ?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356836 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=356836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If there are AT LEAST three men on the committee, this means there could be 4 or 5 men.  We will look at each case. \r<BR>\n" );
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document.write( "If there are 3 Men and 2 Women. <BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287C3%29 ALIGN=MIDDLE  ALT=\"%287C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to pick the 3 men (note it is a combination as order does not matter).  <BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286C2%29 ALIGN=MIDDLE  ALT=\"%286C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to pick the 2 women (again, order doesn't matter)<BR>\n" );
document.write( "These two things are done at the same time, so we can use the product rule. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287C3%29%286C2%29 ALIGN=MIDDLE  ALT=\"%287C3%29%286C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If there are 4 men and 1 woman<BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287C4%29 ALIGN=MIDDLE  ALT=\"%287C4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to pick the 4 men (note it is a combination as order does not matter).  <BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286C1%29 ALIGN=MIDDLE  ALT=\"%286C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to pick the 1 woman (again, order doesn't matter)<BR>\n" );
document.write( "These two things are done at the same time, so we can use the product rule. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287C4%29%286C1%29 ALIGN=MIDDLE  ALT=\"%287C4%29%286C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If it is all men <BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287C5%29 ALIGN=MIDDLE  ALT=\"%287C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to pick the 5 men.\r<BR>\n" );
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document.write( "Now, we can add all these three options up and get our final answer.  I will let you do this.  <BR>\n" );
document.write( "If you are unsure of answer please feel free to let me know:)  </SPAN>\n" );
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