document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128074>Question 1128074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many three&#8203;-digit numbers may be formed using elements from the set {1,2,3,4,5,67,8,9} if no element may be used more than once in a number and the number must be even? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744549 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are using the digits 1 through 9 (no zero),<BR>\n" );
document.write( "so there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > digits to choose from.<BR>\n" );
document.write( "An even number must end in 0, 2, 4, 6, or 8.<BR>\n" );
document.write( "Your even three-digit numbers must end in 2, 4, 6, or 8.<BR>\n" );
document.write( "That gives you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > choices for the last digit.<BR>\n" );
document.write( "For each choice, you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-1=8 ALIGN=MIDDLE  ALT=\"9-1=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > unused digits to use as second (tens) digit,<BR>\n" );
document.write( "to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A8=32 ALIGN=MIDDLE  ALT=\"4%2A8=32\"   DISABLED_style= \"max-width:90%; height:auto;\" > two-digit ending sequences.<BR>\n" );
document.write( "Each of those two-digit ending sequence choices<BR>\n" );
document.write( "leaves you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-1-1=7 ALIGN=MIDDLE  ALT=\"9-1-1=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > unused digits you can choose as the first (hundreds) digit,<BR>\n" );
document.write( "for a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%2A7=highlight%28224%29 ALIGN=MIDDLE  ALT=\"32%2A7=highlight%28224%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "three-digit even numbers with no repeated digits.<BR>\n" );
document.write( " </SPAN>\n" );
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