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 #26032 by </B><A HREF=/tutors/aboutme.mpl?userid=kev82><B>kev82(151)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kev82><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "I don't quite understand the question. So I'm going to restate it as what I think it means, and hopefully we'll both be on the same wavelength. Using any of the letters O, L, I, V, E at most once. How many distinct three letter words can you make?\r<BR>\n" );
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document.write( "This is quite simple really. You just have to think about how many choices there are for each letter of your three letter word.\r<BR>\n" );
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document.write( "For the first letter you can choose any one of the five letters.<BR>\n" );
document.write( "For the second letter you can only choose four letters as you've already taken one of them.<BR>\n" );
document.write( "For the third letter you can choose any of the three remaining letters so in total that is 5*4*3=60 different words.\r<BR>\n" );
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document.write( "I don't know whether you've met it yet, but there is a function callled the permutation function that works this out.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?P(n,r)=\frac{n!}{(n-r)!}\">\r<BR>\n" );
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document.write( "So P(5,3)=120/2=60.\r<BR>\n" );
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document.write( "Hope that helps,<BR>\n" );
document.write( "Kev </SPAN>\n" );
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