document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387987>Question 387987</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have 8 posters to hang in your room. You want to hang the posters as a border around the walls of your room. How many ways can you arrange the posters?\r<BR>\n" );
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document.write( "a.40320\r<BR>\n" );
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document.write( "b.5040\r<BR>\n" );
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document.write( "c.720\r<BR>\n" );
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document.write( "d.362880 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274296 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I believe the answer is 8! which is equal to 8*7*6*5*4*3*2*1 which equals 40320.<BR>\n" );
document.write( "If it were 3 posters, the answer would be 3! = 6<BR>\n" );
document.write( "3! can be shown<BR>\n" );
document.write( "8! is a lot more difficult to show.<BR>\n" );
document.write( "We'll show 3!<BR>\n" );
document.write( "Let the posters be a, b, and c.<BR>\n" );
document.write( "The ways they can be shown are:<BR>\n" );
document.write( "abc<BR>\n" );
document.write( "acb<BR>\n" );
document.write( "bac<BR>\n" );
document.write( "bca<BR>\n" );
document.write( "cab<BR>\n" );
document.write( "cba<BR>\n" );
document.write( "With 4 posters, the number of ways they can be shown is 4! = 24 possible ways.<BR>\n" );
document.write( "Let the posters be a, b, c, and d<BR>\n" );
document.write( "The ways they can be shown are:<BR>\n" );
document.write( "abcd<BR>\n" );
document.write( "abdc<BR>\n" );
document.write( "acbd<BR>\n" );
document.write( "acdb<BR>\n" );
document.write( "adbc<BR>\n" );
document.write( "adcb<BR>\n" );
document.write( "bacd<BR>\n" );
document.write( "badc<BR>\n" );
document.write( "bcad<BR>\n" );
document.write( "bcda<BR>\n" );
document.write( "bdac<BR>\n" );
document.write( "bdca<BR>\n" );
document.write( "cabd<BR>\n" );
document.write( "cadb<BR>\n" );
document.write( "cbad<BR>\n" );
document.write( "cbda<BR>\n" );
document.write( "cdab<BR>\n" );
document.write( "cdba<BR>\n" );
document.write( "dabc<BR>\n" );
document.write( "dacb<BR>\n" );
document.write( "dbac<BR>\n" );
document.write( "dbca<BR>\n" );
document.write( "dcab<BR>\n" );
document.write( "dcba\r<BR>\n" );
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document.write( "As the number of posters goes up, the number of possible permutations gets significntly higher.\r<BR>\n" );
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document.write( "The number you are looking for is 8! = 40320\r<BR>\n" );
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document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );