document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210200>Question 1210200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A permutation of the numbers (1,2,3,\dots,n) is a rearrangement of the numbers in which each number appears exactly once. For example, (2,5,1,4,3) is a permutation of (1,2,3,4,5).\r<BR>\n" );
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document.write( "Find the number of permutations (x_1, x_2, \dots, x_8) on (1, 2, 3, \dots, 8), such that (x_i, x_{i + 1}), 1 \le i \le 7, is never equal to (1,2), (3,4), (5,6), or (7,8).  (However, (x_i, x_{i + 1}) can be equal to (2,1), (4,3), (6,5), or (8,7).) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851588 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</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=851588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "The problem is posed/worded/ INCORRECTLY.\r<BR>\n" );
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document.write( "To be correct, it should talk consistently not about permutations, but about the sequences of integer numbers.  \r<BR>\n" );
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document.write( "Since it is worded in wrong way, I even will not discuss anything here.\r<BR>\n" );
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document.write( "It looks like the problem's creator does not understand the difference.\r<BR>\n" );
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document.write( "In such case, it is useless to make any explanations.\r<BR>\n" );
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document.write( "Simply, the problem's creator did not achieve the level yet, <BR>\n" );
document.write( "when such discussing can be productive.\r<BR>\n" );
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