document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67089>Question 67089</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How many three-digit counting numbers are there that are less than 300 such that all the digits are even? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47767 by </B><A HREF=/tutors/aboutme.mpl?userid=Zoop><B>Zoop(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Zoop><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Wierd---I thought I had solved this one already, but for some reason, I can't find it. Anyway, here's how to do it.\r<BR>\n" );
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document.write( "There is only 1 possibility for the first digit of any of the numbers, as no 3-digit number with an even first digit is underneath 300 unless the first digit is 2. Therefore, we take 1 as the first term.\r<BR>\n" );
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document.write( "For the second one, it could be 2,4,6, or 8. So there are 4 choices, as there are for the third term too.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A4%2A4=16 ALIGN=MIDDLE  ALT=\"1%2A4%2A4=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, we have 16 counting numbers less than 300 that have all even digits.\r<BR>\n" );
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document.write( "If you'd like a list of the numbers:<BR>\n" );
document.write( "222<BR>\n" );
document.write( "224<BR>\n" );
document.write( "226<BR>\n" );
document.write( "228<BR>\n" );
document.write( "242<BR>\n" );
document.write( "244<BR>\n" );
document.write( "246<BR>\n" );
document.write( "248<BR>\n" );
document.write( "262<BR>\n" );
document.write( "264<BR>\n" );
document.write( "266<BR>\n" );
document.write( "268<BR>\n" );
document.write( "282<BR>\n" );
document.write( "284<BR>\n" );
document.write( "286<BR>\n" );
document.write( "288\r<BR>\n" );
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document.write( "Done. =)<BR>\n" );
document.write( "-Zoop </SPAN>\n" );
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