document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888585>Question 888585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many 5 letter code words can be formed using a 27 letter alphabet?<BR>\n" );
document.write( "A-repetitions allowed <BR>\n" );
document.write( "B-no repetitions allowed   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537475 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=537475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if repetitions are allowed, then 27^5 = 14348907<BR>\n" );
document.write( "if repetitions are not allowed, then 27P5 = 27! / 22! = 9687600\r<BR>\n" );
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document.write( "how's this work?\r<BR>\n" );
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document.write( "in order to see, try 2 letter code words from 3 letter alphabet of abc.\r<BR>\n" );
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document.write( "with repetition = 3^2 = 9<BR>\n" );
document.write( "without repetition = 3P2 = 3! / 1! = 6\r<BR>\n" );
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document.write( "with repetition, the codes would be:\r<BR>\n" );
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document.write( "aa<BR>\n" );
document.write( "ab<BR>\n" );
document.write( "ac<BR>\n" );
document.write( "ba<BR>\n" );
document.write( "bb<BR>\n" );
document.write( "ac<BR>\n" );
document.write( "ca<BR>\n" );
document.write( "cb<BR>\n" );
document.write( "cc\r<BR>\n" );
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document.write( "total of 9.\r<BR>\n" );
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document.write( "without repetition, the codes would be:\r<BR>\n" );
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document.write( "ab<BR>\n" );
document.write( "ac<BR>\n" );
document.write( "ba<BR>\n" );
document.write( "bc<BR>\n" );
document.write( "ca<BR>\n" );
document.write( "cb\r<BR>\n" );
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document.write( "the same formulas apply to the bigger problem.\r<BR>\n" );
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document.write( "the formula for permutation is nPx = n! / (n-x)!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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