document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443316>Question 443316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many computer password are possible, using digits: 0-9, a-z(lower case), A-Z (upper case) and !, @, #, $, %, &, *, +.  Each character could be used more than one , but the last character have to be from !, @, #, $, %, &, *, +. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305786 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider these sets:\r<BR>\n" );
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document.write( "0-9  has 10 digits<BR>\n" );
document.write( "a-z has 26 letters<BR>\n" );
document.write( "A-Z has 26 letters<BR>\n" );
document.write( "{!,@,#,$,%,&,*,+} has 8 characters:<BR>\n" );
document.write( "We have 70 characters in all:\r<BR>\n" );
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document.write( "If the number of characters is a fixed length {n characters}, there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%5E%28n-1%29+%2A+8 ALIGN=MIDDLE  ALT=\"70%5E%28n-1%29+%2A+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible characters.\r<BR>\n" );
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document.write( "Let's say you are given some maximum amount of characters.\r<BR>\n" );
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document.write( "Then the number of passwords is represented as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%2870%5E%28i-1%29%2A8%2C+i=1%2C+n%29 ALIGN=MIDDLE  ALT=\"sum%2870%5E%28i-1%29%2A8%2C+i=1%2C+n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now I'm thinking this might be too advanced for the level of problem.\r<BR>\n" );
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document.write( "Is is possible that you have left out information? Is there a maximum length or fixed length of the password? </SPAN>\n" );
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