document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161107>Question 161107</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131752049/algebrahomeworkh>Thinking Mathematically</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A group of four men and five women. Three people  are selected to attend a conference.<BR>\n" );
document.write( " <BR>\n" );
document.write( "a. In how many ways can three people be selected from this group of nine?<BR>\n" );
document.write( " <BR>\n" );
document.write( "b. In how many ways can three women be selected from the five women?<BR>\n" );
document.write( " <BR>\n" );
document.write( "c. Find the probability that the selected group will consist of all women.<BR>\n" );
document.write( " <BR>\n" );
document.write( "This is how I answered:<BR>\n" );
document.write( " <BR>\n" );
document.write( " (a) 9!/(9-3)! 3! = 9*8*7*6*5*4*3*2*1/6*3*2*1 cancel out the 6 on the numerator and denominator = 504/6 = 84 This is the answere the book gave as well.<BR>\n" );
document.write( " (b) 5!/(5-3)! 3! = 5*4*3*2*1/2*3*2*1 cancel out the 2 in the numeratoer and denominator = 60/6 = 10 agan, this is also the answer the book gives.<BR>\n" );
document.write( " (c) this is where I am stuck I tried this 5!/(9-5)! 3! = 5*4*3*2*1/4*3*2*1 cancelling out the 4 in the numerator and the denominator which will leave you <BR>\n" );
document.write( " with 5 as a numerator, but if we cancel out the 4 on the denominator that will leave us with 6 which is the wrong answer. The books states that the answer <BR>\n" );
document.write( " should be 5/42.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you can help me to understand how they come up with 5/42 for I would appreciate it. Thanks a million!\r<BR>\n" );
document.write( "\n" );
document.write( "KiKi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118672 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=118672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have a 5 in 9 chance of the first person being a woman.<BR>\n" );
document.write( "You then have a 4 in 8 chance of the second one being a woman.<BR>\n" );
document.write( "Finally, you have a 3 in 7 chance of the third person being a woman.<BR>\n" );
document.write( "So the chances are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F9%29+%2A+%284%2F8%29+%2A+%283%2F7%29+ ALIGN=MIDDLE  ALT=\"%285%2F9%29+%2A+%284%2F8%29+%2A+%283%2F7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2A4%2A3%29%2F%289%2A8%2A7%29 ALIGN=MIDDLE  ALT=\"%285%2A4%2A3%29%2F%289%2A8%2A7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%283%2A2%2A7%29 ALIGN=MIDDLE  ALT=\"5%2F%283%2A2%2A7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+%2F42+ ALIGN=MIDDLE  ALT=\"5+%2F42+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );