document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=532030>Question 532030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least one 4?<BR>\n" );
document.write( "What threw me off is the at least one 4 part. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350695 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=350695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least one 4?<BR>\n" );
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document.write( "# of plates = # possible - # with no 4's<BR>\n" );
document.write( "----<BR>\n" );
document.write( "# possible = 25*26^2*10^3 = 16900000<BR>\n" );
document.write( "# with no 4's = 25*26^2*9^3 = 12320100<BR>\n" );
document.write( "----<BR>\n" );
document.write( "# of plates = 16900000-12320100 = 4579900<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );