document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095712>Question 1095712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help...<BR>\n" );
document.write( "A committee of four is selected from seven men and six women. Find the probability that there is at least one of each gender on the committee. <BR>\n" );
document.write( "The answer should be 133/143, but I got it wrong. <BR>\n" );
document.write( "Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710235 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5347)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=710235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With 7+6=13 people, you can form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A12%2A11%2A10%2F%282%2A3%2A4%29 ALIGN=MIDDLE  ALT=\"13%2A12%2A11%2A10%2F%282%2A3%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > committees of 4 people.<BR>\n" );
document.write( "Among those there are the only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A6%2A5%2A4%2F%282%2A3%2A4%29 ALIGN=MIDDLE  ALT=\"7%2A6%2A5%2A4%2F%282%2A3%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > made of all men,<BR>\n" );
document.write( "and the only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A5%2A4%2A3%2F%282%2A3%2A4%29 ALIGN=MIDDLE  ALT=\"6%2A5%2A4%2A3%2F%282%2A3%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > made of all women.<BR>\n" );
document.write( "The other committees have at least one person of each gender.<BR>\n" );
document.write( "Those are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2A12%2A11%2A10-7%2A6%2A5%2A4-6%2A5%2A4%2A3%29%2F%282%2A3%2A4%29 ALIGN=MIDDLE  ALT=\"%2813%2A12%2A11%2A10-7%2A6%2A5%2A4-6%2A5%2A4%2A3%29%2F%282%2A3%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2A4%2A3%2A11%2A5%2A2-%286%2A5%2A4%29%287%2B3%29%29%2F%282%2A3%2A4%29 ALIGN=MIDDLE  ALT=\"%2813%2A4%2A3%2A11%2A5%2A2-%286%2A5%2A4%29%287%2B3%29%29%2F%282%2A3%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2A11%2A6%2A5%2A4-6%2A5%2A4%2A11%29%2F%282%2A3%2A4%29 ALIGN=MIDDLE  ALT=\"%2813%2A11%2A6%2A5%2A4-6%2A5%2A4%2A11%29%2F%282%2A3%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2A11-10%29%2A%286%2A5%2A4%29%2F%282%2A3%2A4%29=%28143-10%29%2A6%2A5%2A4%2F%282%2A3%2A4%29=133%2A6%2A5%2A4%2F%282%2A3%2A4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "of the total <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A12%2A11%2A10%2F%282%2A3%2A4%29=13%2A3%2A4%2A11%2A5%2A2%2F%282%2A3%2A4%29=13%2A11%2A6%2A5%2A4%2F%282%2A3%2A4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >={{143*6*5*4/(2*3*4}}} .<BR>\n" );
document.write( "The probability is the ratio of those two quantities,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=133%2A6%2A5%2A4%2F%28143%2A6%2A5%2A4%29=highlight%28133%2F143%29 ALIGN=MIDDLE  ALT=\"133%2A6%2A5%2A4%2F%28143%2A6%2A5%2A4%29=highlight%28133%2F143%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "If you got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=139%2F143 ALIGN=MIDDLE  ALT=\"139%2F143\"   DISABLED_style= \"max-width:90%; height:auto;\" > the mistake was that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A12%2A11%2A10-7%2A6%2A5%2A4-3%2A6%2A5%2A4 ALIGN=MIDDLE  ALT=\"13%2A12%2A11%2A10-7%2A6%2A5%2A4-3%2A6%2A5%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is equal to<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A12%2A11%2A10-%287%2A6%2A5%2A4%2B3%2A6%2A5%2A4%29=13%2A12%2A11%2A10-%287%2B3%29%2A6%2A5%2A4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and not to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A12%2A11%2A10-%287-3%29%2A6%2A5%2A4 ALIGN=MIDDLE  ALT=\"13%2A12%2A11%2A10-%287-3%29%2A6%2A5%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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