document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173645>Question 1173645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different 4-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 8, and 9 if no repetition of digits is allowed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798916 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=798916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The only restriction on the number to be formed, other than the requirement that the digits be all different, is that the number must be even.<br><BR>\n" );
document.write( "That means the units digit must be even; the other digits can be any digits.<br><BR>\n" );
document.write( "Since the only restriction is on the units digit, choose it first.  Among the given digits, 4 of them are even, so there are 4 choices for the units digit.<br><BR>\n" );
document.write( "After that, there are 8 digits left to choose from; and you can choose the tens, hundreds, and thousands digits in any order you want.<br><BR>\n" );
document.write( "Because of the requirement that the digits all be different, there are 8 choices for the next digit you choose, 7 choices for the one after that, and 6 choices for the last.<br><BR>\n" );
document.write( "So the total number of 4-digit even numbers that can be formed from the given digits is 4*8*7*6 = 1344<br><BR>\n" );
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