document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198775>Question 1198775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Because of the effect of the TRAIN LAW, Anna, Jennifer, and Khaeh each decided to take two jobs, but<BR>\n" );
document.write( "no two have the same occupation. The occupations are nurse, accountant, singer, architect, cartoonist,<BR>\n" );
document.write( "and interior designer. Given the information below, determine the occupations of each individual.<BR>\n" );
document.write( "a. The nurse had lunch with the singer.<BR>\n" );
document.write( "b. The singer went fishing with Anna, who is not a cartoonist.<BR>\n" );
document.write( "c. The interior designer is related to the accountant.<BR>\n" );
document.write( "d. The nurse hired the interior designer to do a job.<BR>\n" );
document.write( "e. Jennifer lives next door to the cartoonist.<BR>\n" );
document.write( "f. Khaeh beats Jennifer and the interior designer at tennis.<BR>\n" );
document.write( "g. Khaeh is not the nurse. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832548 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52858)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Because of the effect of the TRAIN LAW, Anna, Jennifer, and Khaeh each decided to take two jobs, but<BR>\n" );
document.write( "no two have the same occupation. The occupations are nurse, accountant, singer, architect, cartoonist,<BR>\n" );
document.write( "and interior designer. Given the information below, determine the occupations of each individual.<BR>\n" );
document.write( "a. The nurse had lunch with the singer.<BR>\n" );
document.write( "b. The singer went fishing with Anna, who is not a cartoonist.<BR>\n" );
document.write( "c. The interior designer is related to the accountant.<BR>\n" );
document.write( "d. The nurse hired the interior designer to do a job.<BR>\n" );
document.write( "e. Jennifer lives next door to the cartoonist.<BR>\n" );
document.write( "f. Khaeh beats Jennifer and the interior designer at tennis.<BR>\n" );
document.write( "g. Khaeh is not the nurse.<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(0)  Start preparing this 3x6 table\r\n" );
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document.write( "           nurse    accountant   singer   architect   cartoonist  interior designer\r\n" );
document.write( "Anna         \r\n" );
document.write( "Jennifer     \r\n" );
document.write( "Khaeh        \r\n" );
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document.write( "For now, this table is empty.\r\n" );
document.write( "We will move forward step by step, making logical conclusions and filling the table gradually \r\n" );
document.write( "   by placing  \"+\"  or  \"-\"  signs in the cells.\r\n" );
document.write( "Notice that each column must have precisely one  \"+\"  and each row must have precisely two  \"+\".\r\n" );
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document.write( "(1)  From (b), Anna is not the cartoonist.\r\n" );
document.write( "     From (e), Jennifer is not the cartoonist.\r\n" );
document.write( "     Hence, Khaeh is the cartoonist.\r\n" );
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document.write( "     So, we fill the table accordingly.\r\n" );
document.write( "\r\n" );
document.write( "           nurse    accountant   singer   architect   cartoonist  interior designer\r\n" );
document.write( "Anna                                                      -\r\n" );
document.write( "Jennifer                                                  -\r\n" );
document.write( "Khaeh                                                     +\r\n" );
document.write( "\r\n" );
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document.write( "(2)  From (f), neither Khaeh nor Jennifer is the interior designer.\r\n" );
document.write( "     Hence, Anna is the the interior designer.\r\n" );
document.write( "     Next, from (c), Anna is also accountant.\r\n" );
document.write( "\r\n" );
document.write( "     It implies that Anna is neither the nurse, nor the singer, nor the architect, nor the cartoonist.\r\n" );
document.write( "     So, we fill the table accordingly.\r\n" );
document.write( "     \r\n" );
document.write( "           nurse    accountant   singer   architect   cartoonist  interior designer\r\n" );
document.write( "Anna         -          +          -          -           -              +\r\n" );
document.write( "Jennifer                                                  -\r\n" );
document.write( "Khaeh                                                     +\r\n" );
document.write( "\r\n" );
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document.write( "(3)  From (2), since Anna is the accountant, Jennifer is not the accountant.\r\n" );
document.write( "     From (e), Jennifer is not the cartoonist.\r\n" );
document.write( "     Since Anna is the accountant, Khaeh is not the accountant.                      \r\n" );
document.write( "\r\n" );
document.write( "     So, we fill the table accordingly.\r\n" );
document.write( "\r\n" );
document.write( "           nurse    accountant   singer   architect   cartoonist  interior designer\r\n" );
document.write( "Anna         -          +          -          -           -              +\r\n" );
document.write( "Jennifer                -                                 -\r\n" );
document.write( "Khaeh                   -                                 +\r\n" );
document.write( "\r\n" );
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document.write( "(4)  Since Khaeh is not the nurse/(g) and Anna is not the nurse (see (2)), \r\n" );
document.write( "     it implies that Jennifer is the nurse.                                  \r\n" );
document.write( "\r\n" );
document.write( "     So, we fill the table accordingly.\r\n" );
document.write( "\r\n" );
document.write( "           nurse    accountant   singer   architect   cartoonist  interior designer\r\n" );
document.write( "Anna         -          +          -          -           -              +\r\n" );
document.write( "Jennifer     +          -                                 -\r\n" );
document.write( "Khaeh        -          -                                 +\r\n" );
document.write( "\r\n" );
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document.write( "(5)  Since nurse =/= singer (from (a)) and nurse =/= int-designer (from (d)),\r\n" );
document.write( "     it implies that Jennifer is not the singer and Jennifer is not the int-designer.\r\n" );
document.write( "     It leaves for Jennifer only one possibility: Jennifer is the architect.\r\n" );
document.write( "\r\n" );
document.write( "     So, we fill the table accordingly.\r\n" );
document.write( "\r\n" );
document.write( "           nurse    accountant   singer   architect   cartoonist  interior designer\r\n" );
document.write( "Anna         -          +          -          -           -              +\r\n" );
document.write( "Jennifer     +          -          -          +           -              -\r\n" );
document.write( "Khaeh        -          -                                 +\r\n" );
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document.write( "(6)  Hence, from (5), Khaeh is not the architect.\r\n" );
document.write( "     It leaves for Khaeh only one possibility for her second occupation: she is the singer.\r\n" );
document.write( "\r\n" );
document.write( "     So, we fill the table accordingly.\r\n" );
document.write( "\r\n" );
document.write( "           nurse    accountant   singer   architect   cartoonist  interior designer\r\n" );
document.write( "Anna         -          +          -          -           -              +\r\n" );
document.write( "Jennifer     +          -          -          +           -              -\r\n" );
document.write( "Khaeh        -          -          +          -           +              -                \r\n" );
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document.write( "Now the table is fully filled, so the problem is solved.\r\n" );
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document.write( "<U>ANSWER</U>.  Anna        is the accountant and the interior designer.\r\n" );
document.write( "         Jennifer    is the nurse      and the architect.\r\n" );
document.write( "         Khaeh       is the singer     and the cartoonist.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );