document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165371>Question 165371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you are playing a word game with seven distinct letters.  How many seven-letter words can there be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121887 by </B><A HREF=/tutors/aboutme.mpl?userid=MRperkins><B>MRperkins(300)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MRperkins><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=MRperkins><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know that there are 26 letters in the Alphabet and 7 distinct letters (letters cannot be duplicated)<BR>\n" );
document.write( "so the first letter can be any of the 26<BR>\n" );
document.write( "the second letter can be any of the letters except for the first letter or (26-1)<BR>\n" );
document.write( "the 3rd letter can be any of the 26 letters except for the first two letters or 26-2=24 possibilities<BR>\n" );
document.write( "...<BR>\n" );
document.write( "so each letter loses one more possibility<BR>\n" );
document.write( "1st*2nd*3rd*4th*5th*6th*7th=total possible seven-letter words <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2A25%2A24%2A23%2A22%2A21%2A20=3315312000 ALIGN=MIDDLE  ALT=\"26%2A25%2A24%2A23%2A22%2A21%2A20=3315312000\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible seven-letter words </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );