document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541690>Question 541690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three student representatives, a president, a secretary, and a treasurer, are to be chosen from a group of five students: Andrew, Brenda, Chad, Dorothy, and Eric. In how many different ways can the representatives be chosen if the president must be a woman and the secretary and treasurer must be men?\r<BR>\n" );
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document.write( "My answer is 6, but it's not correct. The correct answer is 12. I don't know why \"12\". </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354252 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">This is one of those counting method problems, using the multiplication principle.<br><BR>\n" );
document.write( "In this case, we have very specific rules for selecting the representatives.<br><BR>\n" );
document.write( "There are 3 positions, how many ways can we \"choose\" each position?<br><BR>\n" );
document.write( "In the first slot, we can only place a woman, so we have 2 choices.<br><BR>\n" );
document.write( "In the second slot, we can only place a man so we have 3 choices.<br><BR>\n" );
document.write( "In the third slot, we can only place a man (who wasn't already chosen), so we have ONLY 2 choices.<br><BR>\n" );
document.write( "This because we assume one person can't be both the secretary and the treasurer at the same time.<br><BR>\n" );
document.write( "Then we just need to multiply the number of choices!<br><BR>\n" );
document.write( "In this case we have<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%2A2 ALIGN=MIDDLE  ALT=\"2%2A3%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "which equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I hope this helps!<br> </SPAN>\n" );
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