document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40624>Question 40624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help<BR>\n" );
document.write( "How many arrangements of the letters in the word  OLIVE can you make if each arrangement must use three letters?<BR>\n" );
document.write( "please explain the answer<BR>\n" );
document.write( "A)20<BR>\n" );
document.write( "b)60<BR>\n" );
document.write( "c)8*7*6*5*4*3*2*1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26034 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lay out all possible 1st letters in the 3-letter word<BR>\n" );
document.write( "O<BR>\n" );
document.write( "L<BR>\n" );
document.write( "I<BR>\n" );
document.write( "V<BR>\n" );
document.write( "E<BR>\n" );
document.write( "What are the choices for the 2nd letter in each case?<BR>\n" );
document.write( "O and any one of the remaining 4 letters L,I,V,or E<BR>\n" );
document.write( "L and any one of the remaining 4 letters O,I,V,or E<BR>\n" );
document.write( "I and any one of the remaining 4 letters O,L,V,or E<BR>\n" );
document.write( "V and any one of the remaining 4 letters O,L,I,or E<BR>\n" );
document.write( "E and any one of the remaining 4 letters O,L,I,or V<BR>\n" );
document.write( "So, for each of 5 possible 1st letters, ther are 4 possible <BR>\n" );
document.write( "2nd letters. That makes 5 x 4 = 20 possibilities so far<BR>\n" );
document.write( "Now include the possibilities for the 3rd letter<BR>\n" );
document.write( "O AND any one of the remaining 4 letters L,I,V,or E AND one of 3 letters left<BR>\n" );
document.write( "L AND any one of the remaining 4 letters O,I,V,or E AND one of 3 letters left<BR>\n" );
document.write( "I AND any one of the remaining 4 letters O,L,V,or E AND one of 3 letters left<BR>\n" );
document.write( "V AND any one of the remaining 4 letters O,L,I,or E AND one of 3 letters left<BR>\n" );
document.write( "E AND any one of the remaining 4 letters O,L,I,or V AND one of 3 letters left<BR>\n" );
document.write( "For each of the 4 2nd letters on each line, there are 3 possible<BR>\n" );
document.write( "3rd letters <BR>\n" );
document.write( "O AND 4 X 3 possible 2nd and 3rd letters<BR>\n" );
document.write( "L AND 4 x 3 possible 2nd and 3rd letters<BR>\n" );
document.write( "I AND 4 X 3 possible 2nd and 3rd letters<BR>\n" );
document.write( "V AND 4 x 3 possible 2nd and 3rd letters<BR>\n" );
document.write( "E AND 4 x 3 possible 2nd and 3rd letters<BR>\n" );
document.write( "The toal is 5 x 4 x 3 = 60 possible 3 letter words from olive </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );