document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270975>Question 270975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are choosing a computer password. The password has 3 letters followed by 3 digits. \r<BR>\n" );
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document.write( "a. How many passwords are possible if the letters must be uppercase?\r<BR>\n" );
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document.write( "b. How many passwords are possible if no letter or digit can be repeated and the letters have to be lowercase? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198446 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=198446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are choosing a computer password. The password has 3 letters followed by 3 digits. <BR>\n" );
document.write( "a. How many passwords are possible if the letters must be uppercase?<BR>\n" );
document.write( "3 letters: 26^3 ways<BR>\n" );
document.write( "3 digits: 10^3 ways<BR>\n" );
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document.write( "# of passwords: 26^3*1000<BR>\n" );
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document.write( "b. How many passwords are possible if no letter or digit can be repeated and the letters have to be lowercase?<BR>\n" );
document.write( "3 letters: 26*25*24<BR>\n" );
document.write( "3 digits: 10*9*8<BR>\n" );
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document.write( "# of passwords: 26*25*24*10*9*8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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