document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970210>Question 970210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,  \r<BR>\n" );
document.write( "\n" );
document.write( "Please can you tell me how many different combinations there are to the following question:\r<BR>\n" );
document.write( "\n" );
document.write( "Write all the four-digit even numbers greater than 5000 that can be made using these digits. You may only use each digit once in a number.\r<BR>\n" );
document.write( "\n" );
document.write( "2  4  6  5  8\r<BR>\n" );
document.write( "\n" );
document.write( "My friend found 12 combinations, my daughter 24 and so far I'm up to 27!!\r<BR>\n" );
document.write( "\n" );
document.write( "Please help...\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks\r<BR>\n" );
document.write( "\n" );
document.write( "Kirsty </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592918 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The smallest is 5002<BR>\n" );
document.write( "The largest is 8654<BR>\n" );
document.write( "Working down:<BR>\n" );
document.write( "8654<BR>\n" );
document.write( "8652<BR>\n" );
document.write( "8642<BR>\n" );
document.write( "8624<BR>\n" );
document.write( "8564<BR>\n" );
document.write( "8562<BR>\n" );
document.write( "8546<BR>\n" );
document.write( "8542<BR>\n" );
document.write( "8526<BR>\n" );
document.write( "8524<BR>\n" );
document.write( "8462<BR>\n" );
document.write( "8456<BR>\n" );
document.write( "8452<BR>\n" );
document.write( "8264<BR>\n" );
document.write( "8256<BR>\n" );
document.write( "8254<BR>\n" );
document.write( "8246<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "I think that's 17 so far. I think this is<BR>\n" );
document.write( "all the numbers that start with 8. They are:<BR>\n" );
document.write( "8XXX<BR>\n" );
document.write( "Then you count all the even:<BR>\n" );
document.write( "6XXX<BR>\n" );
document.write( "5XXX<BR>\n" );
document.write( "4XXX<BR>\n" );
document.write( "2XXX<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "I don't know if you can generalize and say<BR>\n" );
document.write( "each group also has 17 numbers.<BR>\n" );
document.write( "I think you have to count all of them.<BR>\n" );
document.write( "I would try all the 2XXX, and if there are 17,<BR>\n" );
document.write( "then maybe all have 17<BR>\n" );
document.write( "Good luck\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );