document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756651>Question 756651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many 5-letter words can be made out of 26 letters, repetition allowed, but not consecutive repetitions (that is, a letter may not follow itself in the same word) ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460348 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many 5-letter words can be made out of 26 letters, repetition allowed, but not consecutive repetitions (that is, a letter may not follow itself in the same word) ?<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The 1st choice is 1 of 26.<BR>\n" );
document.write( "Then 1 of 25<BR>\n" );
document.write( "Then 1 of 25 (all but the preceding letter)<BR>\n" );
document.write( "1/25<BR>\n" );
document.write( "1/25<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "= 26*25^4 = 10156250<BR>\n" );
document.write( "================<BR>\n" );
document.write( "That's if by word you mean a group of 5 letters.<BR>\n" );
document.write( "eg, axyzq is not a word. syzygy is, but it has 6 letters.<BR>\n" );
document.write( "You can print the list of 10156250 and cross off all the non-words. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );