document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=332299>Question 332299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Albert has 3 daughters, Kate, Liz and Marina. 2 of them are Blonde and one, Brunette. If kate is Blonde, then so is Elizabeth; If Elizabeth is Blonde then so is Marina. Based on this information, which of the following is certainly true and why?<BR>\n" );
document.write( "a) Liz is Brunette and Kate Blonde<BR>\n" );
document.write( "b) Kate is Brunette and Marina Blonde<BR>\n" );
document.write( "c) Marina and Elizabeth are Brunettes<BR>\n" );
document.write( "d) Kate is Blonde, and Marina is Brunette<BR>\n" );
document.write( "e) Kate and Liz are Blonde </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238156 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=238156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let A represent Kate is Blonde.  Let B represent Liz is Blonde.  Let C represent Marina is blonde.\r<BR>\n" );
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document.write( "If A then B.<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \">Given\r<BR>\n" );
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document.write( "If B then C.<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \">Given\r<BR>\n" );
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document.write( "If A then C.<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \">Transitivity\r<BR>\n" );
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document.write( "But that means if A then B AND C which means that all three are blonde contradicting the given that 2 are blonde and 1 is not.  Hence, Kate is not blonde which in turn implies that Liz and Marina are blonde.\r<BR>\n" );
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document.write( "Answer b. is the only one that fits.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
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