document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202801>Question 202801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many six digit numbers are there which DO NOT contain a 5? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152969 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=152969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the first digit, you have the choice of values 0-9, but you can't have the value 5 or 0 (since numbers don't have zeros on the left most side). So this means that you have 8 choices for the first digit. For the other digits (the 5 remaining digits), you have 9 choices. Simply multiply all these possibilities to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A9%2A9%2A9%2A9%2A9+=+8%2A9%5E5+=+8%2A59049+=+472392 ALIGN=MIDDLE  ALT=\"8%2A9%2A9%2A9%2A9%2A9+=+8%2A9%5E5+=+8%2A59049+=+472392\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So there are 472,392 six digit numbers that do NOT have a 5 anywhere in the number.<BR>\n" );
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