document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175169>Question 1175169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the upcoming world-cup, the Indian Cricket Selection Committee has to come up with a possible batting order for their players. Instead of using the traditional approach they have decided to use computer algorithms to come up with all the possible batting orders and then decide from that. The<BR>\n" );
document.write( "algorithm however requires the possible batting positions for each player.\r<BR>\n" );
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document.write( "The algorithm takes a list of 11 players. Each player can have more than one position they can bat at. Your job for now is to help the selection committee calculate the total number of unique batting charts such that every player gets exactly one batting position from their list of positions and no two players are given the same batting position in one batting chart.\r<BR>\n" );
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document.write( "Player<num> / < position 1> / < position 2> / < position 3>….<BR>\n" );
document.write( "Ex:<BR>\n" );
document.write( "P1 / 1 / 2 / 3 / 4<BR>\n" );
document.write( "P2 / 1 / 5 / 9 / 2 / 6 / 7 / 8<BR>\n" );
document.write( "P3 / 1 / 2 / 7 / 10 / 3<BR>\n" );
document.write( "P4 / 1 / 9 / 2 / 6 / 7 / 10 / 3 / 4<BR>\n" );
document.write( "P5 / 5 / 9 / 2 / 8 / 3 / 4<BR>\n" );
document.write( "P6 / 1 / 5 / 3 / 6<BR>\n" );
document.write( "P7 / 6 / 7 / 4<BR>\n" );
document.write( "P8 / 1 / 9 / 2 / 4<BR>\n" );
document.write( "P9 / 9 / 6 / 11 / 3 / 4<BR>\n" );
document.write( "P10 / 1 / 5 / 9 / 7 / 8 / 4<BR>\n" );
document.write( "P11 / 6 / 11 / 7 / 10\r<BR>\n" );
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document.write( "The total number of allocations possible is: 4646.\r<BR>\n" );
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document.write( "How to arrive at this solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851944 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52777)</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=851944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "As I read the problem and the solution by &nbsp;@CPhill, &nbsp;my impression is as follows.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;(1) &nbsp;&nbsp;The problem has no any relation to &nbsp;Math.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;(2) &nbsp;&nbsp;It teaches nothing that relates to &nbsp;Math.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;(3) &nbsp;&nbsp;The major goal why it was posted to this forum is two-fold: \r<BR>\n" );
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document.write( "     &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(a) &nbsp;&nbsp;to show how smart is the author,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(b) &nbsp;&nbsp;to show how smart is &nbsp;@CPhill.\r<BR>\n" );
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document.write( "I do not see any other rationalities &nbsp;why it is posted to this forum.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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