document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202902>Question 1202902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the letter E can never be first or last, how many distinct arrangements of the letters A, B, C, D, E, and<BR>\n" );
document.write( "F are possible?\r<BR>\n" );
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document.write( "(A) 120<BR>\n" );
document.write( "(B) 240<BR>\n" );
document.write( "(C) 480<BR>\n" );
document.write( "(D) 600<BR>\n" );
document.write( "(E) 720 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838104 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "\"... arrangements of the letters A, B, C, D, E, and F...\" means the 6 letters are used once each....<br><BR>\n" );
document.write( "Place the letters in positions using the restrictions first.<br><BR>\n" );
document.write( "E can't be first, so there are 5 choices for the first letter.<br><BR>\n" );
document.write( "E can't be last, so there are 4 choices left for the last letter.<br><BR>\n" );
document.write( "(NOTE: the solution will be the same if you choose the last letter first and then the first letter.)<br><BR>\n" );
document.write( "After choosing the first and last letters, there are no other restrictions on the remaining 4 letters, so they can be arranged in any of 4! = 24 ways.<br><BR>\n" );
document.write( "ANSWER: (5)(4)(24) = 480  option C<br><BR>\n" );
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