document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=412777>Question 412777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many 7-digit numbers can be formed if the first digit cannot be 0 or 9 and if the last digit is greater than or equal to 4 and less than or equal to 5? Repeated digits are allowed. \r<BR>\n" );
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document.write( "I do not even remotley understand how to start this problem. Please explain how you got the answer so that I can learn this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289860 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You don't even remotely know how to spell remotely -- you are in big trouble.\r<BR>\n" );
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document.write( "Since 0 and 9 are excluded from the first digit, there are 8 choices left.  For each of those 8 choices we can choose any digit we like for the second digit, so we have 10 choices.  8 times 10 is 80 possibilities for the first two digits.  For each of those 80 possibilities, we have 10 choices for the third digit: 800 choices.  And so on...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8\ \times\ 10\ \times\ 10\ \times\ 10\ \times\ 10\ \times\ 10\">\r<BR>\n" );
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document.write( "gets you the number of choices for the first 6 digits.\r<BR>\n" );
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document.write( "Finally, you come to the last digit.  Greater than or equal to 4 and less than or equal to 5.  The last digit can either be 4 or 5, which is to say two choices.\r<BR>\n" );
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document.write( "Final tally:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8\ \times\ 10\ \times\ 10\ \times\ 10\ \times\ 10\ \times\ 10\ \times\ 2\">\r<BR>\n" );
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document.write( "You get to do your own arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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