document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=510225>Question 510225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am currently working on my masters in education and have a math class (which is not MY subject) and my sponsor is not available.  I hope you can help me solve this problem.  This is the only math we have to do for this class, we usually do procedures and rules and lesson planning.  I have no idea where to start to solve this.  Thanks for the help! Wendy\r<BR>\n" );
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document.write( "QUESTION:  There are 10 seats in a row at the counter inside a cafe.  Two people enter the café when it opens. How many different ways can these two customers sit at the counter so that they are not next to each other?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341769 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the first person can choose any of 10 seats, this leaves a choice of 9 seats for the other person<BR>\n" );
document.write( "___ for a total of 90 possible seating arrangements (9 * 10)\r<BR>\n" );
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document.write( "the 10 seats contain 9 adjacent pairs<BR>\n" );
document.write( "___ each of those pairs can be occupied in 2 ways (who's on the left and who's on the right)<BR>\n" );
document.write( "___ this means 18 seating arrangements are not allowed (9 * 2)\r<BR>\n" );
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document.write( "so there are 72 ways for the people to sit (90 - 18) </SPAN>\n" );
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