document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150200>Question 1150200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 7 women and 5 men in a department. Four people are needed for a committee.<BR>\n" );
document.write( "a) In how many ways can a committee of 4 people be selected?<BR>\n" );
document.write( "b) In how many ways can this committee be selected if there must be exactly 2 men and 2 women on the committee?<BR>\n" );
document.write( "c) In how many ways can this committee be selected if there must be at least 2 women on the committee? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771626 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=771626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <i>a) In how many ways can a committee of 4 people be selected?</i><BR>\n" );
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document.write( "12C4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%21%2F%284%21%2A8%21%29 ALIGN=MIDDLE  ALT=\"12%21%2F%284%21%2A8%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <b>495</b><BR>\n" );
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document.write( "<i>b) In how many ways can this committee be selected if there must be exactly 2 men and 2 women on the committee?</i><BR>\n" );
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document.write( "7C2 * 5C2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%21%2F%282%21%2A5%21%29%29%2A%285%21%2F%282%21%2A3%21%29%29 ALIGN=MIDDLE  ALT=\"%287%21%2F%282%21%2A5%21%29%29%2A%285%21%2F%282%21%2A3%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <b>210</b><BR>\n" );
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document.write( "<i>c) In how many ways can this committee be selected if there must be at least 2 women on the committee?<i><BR>\n" );
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document.write( "Ways to choose 4 women and 0 men: 7C4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%21%2F%284%21%2A3%21%29%29 ALIGN=MIDDLE  ALT=\"%287%21%2F%284%21%2A3%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 35<BR>\n" );
document.write( "Ways to choose 3 women and 1 man: 7C3 * 5C1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%21%2F%283%21%2A4%21%29%29%2A%285%21%2F%281%21%2A4%21%29%29 ALIGN=MIDDLE  ALT=\"%287%21%2F%283%21%2A4%21%29%29%2A%285%21%2F%281%21%2A4%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 175<BR>\n" );
document.write( "Ways to choose 2 women and 2 men: 7C2 * 5C2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%21%2F%282%21%2A5%21%29%29%2A%285%21%2F%282%21%2A3%21%29%29 ALIGN=MIDDLE  ALT=\"%287%21%2F%282%21%2A5%21%29%29%2A%285%21%2F%282%21%2A3%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 210<BR>\n" );
document.write( "35 + 175 + 210 = <b>420</b> </SPAN>\n" );
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