document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202212>Question 1202212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 14 keys available to put on 2 key rings. Each key ring requires at least 2 keys, but all 14 keys do not need to be placed on both of the key rings. In how many different ways can the keys be placed on the key rings if both of the key rings can be rotated or turned over so that the arrangements are the same?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836875 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "\"...all 14 keys do not need to be placed on both of the key rings.\"<br><BR>\n" );
document.write( "It's impossible or ANY ONE key to be placed on BOTH of the key rings....<br><BR>\n" );
document.write( "So I don't know what the problem is really asking.<br><BR>\n" );
document.write( "Re-post, using proper English.<br><BR>\n" );
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