document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=555629>Question 555629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to figure out what formula to use on this question and also how to proceed with the formula.\r<BR>\n" );
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document.write( "A password to a computer is to consist of 2 lower case letters followed by three digits. How many different passwords are possible if repetition of letters and numbers is not permitted? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361885 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=361885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's better if you reason it out and <BR>\n" );
document.write( "don't think of it as a formula.<BR>\n" );
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document.write( "Imagine you have 5 empty boxes that you can put<BR>\n" );
document.write( "things in, but you are restricted as to what you can<BR>\n" );
document.write( "put in them.<BR>\n" );
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document.write( "There are 26 possible things ( letters ) you can put in the 1st box<BR>\n" );
document.write( "You have used up a letter, so you only have 25 possible letters<BR>\n" );
document.write( "you can put in the 2nd box.<BR>\n" );
document.write( "In the 3rd box, you are allowed 0 - 9, so there are 10 possible things<BR>\n" );
document.write( "In the 4th box, you have 10 - 1 = 9 possible things allowed<BR>\n" );
document.write( "In the 5th box, you have 10 - 2 = 8 possible things allowed<BR>\n" );
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document.write( "The numbers of things allowed in the 5 boxes is:<BR>\n" );
document.write( "26, 25, 10, 9, and 8<BR>\n" );
document.write( "Now the key to the problem is what to do with these numbers.<BR>\n" );
document.write( "The general rule is, whenever you have<BR>\n" );
document.write( "( x number possible ) AND ( y number possible ) AND ( z number possible ) etc. etc. etc. <BR>\n" );
document.write( "The resulting possibilities are x times y times z etc.<BR>\n" );
document.write( "So, the number of possible passwords is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26%2A25%2A10%2A9%2A8+=+468000+ ALIGN=MIDDLE  ALT=\"+26%2A25%2A10%2A9%2A8+=+468000+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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