document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103146>Question 1103146</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary Anne is not the second.Faye comes after Alia.Alia is ahead of Mary Anne.Who is the 3rd? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717822 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=717822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "We're given three facts<BR>\n" );
document.write( "Fact 1: Mary Anne is not the second.<BR>\n" );
document.write( "Fact 2: Faye comes after Alia.<BR>\n" );
document.write( "Fact 3: Alia is ahead of Mary Anne.\r<BR>\n" );
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document.write( "Let<BR>\n" );
document.write( "A = Alia<BR>\n" );
document.write( "F = Faye<BR>\n" );
document.write( "M = Mary Anne\r<BR>\n" );
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document.write( "Using the letters assigned above will help with shorthand notation.\r<BR>\n" );
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document.write( "There are 3*2*1 = 6 ways to order the three letters. The list of possible orderings (so far) is<BR>\n" );
document.write( "A, F, M<BR>\n" );
document.write( "A, M, F<BR>\n" );
document.write( "F, A, M<BR>\n" );
document.write( "F, M, A<BR>\n" );
document.write( "M, A, F<BR>\n" );
document.write( "M, F, A\r<BR>\n" );
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document.write( "Here is a table showing if each possible ordering is possible or not, based on the constraints of the given facts above<BR>\n" );
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document.write( "<tr><th>Ordering</th><th>Is The Ordering Possible?</th><th>Why or Why not?</th></tr><tr><TD >A, F, M</TD><TD >Yes</TD><TD >All three facts (see above) are satisfied</TD></tr><tr><TD >A, M, F</TD><TD >No</TD><TD >Fact 1 is false (Mary Anne shouldn't be second)</TD></tr><tr><TD >F, A, M</TD><TD >No</TD><TD >Fact 2 is false (Faye should come after Alia)</TD></tr><tr><TD >F, M, A</TD><TD >No</TD><TD >Fact 1 is false (Mary Anne shouldn't be second)</TD></tr><tr><TD >M, A, F</TD><TD >No</TD><TD >Fact 3 is false (Alia should be ahead of Mary Anne)</TD></tr><tr><TD >M, F, A</TD><TD >No</TD><TD >Fact 2 is false (Faye should come after Alia)</TD></tr>\n" );
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document.write( "Every item but A, F, M is possible (based on the constraints given by fact 1, fact 2, fact 3 above)\r<BR>\n" );
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document.write( "So the only proper ordering is A, F, M meaning Alia is first, Faye is second and Mary Anne is third\r<BR>\n" );
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document.write( "<font color=red>Therefore, Mary Anne is the 3rd in the list</font><BR>\n" );
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