document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191918>Question 1191918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . If the number of combinations of n objects taken 3 at a time is 20, how many permutations are there?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823785 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=823785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The question is not clear.<br><BR>\n" );
document.write( "Are you looking for the number of permutations of the 3 of the n objects, or the number of permutations of all n objects?<br><BR>\n" );
document.write( "My reading of the problem suggests that the question being asked is the number of permutations of the 3 objects.<br><BR>\n" );
document.write( "In that case, the solution is easy.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28n%2C3%29+=+%28%28n%29%28n-1%29%28n-2%29%29%2F%283%2A2%2A1%29+=+%28%28n%29%28n-1%29%28n-2%29%29%2F6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28n%2C3%29+=+%28n%29%28n-1%29%28n-2%29 ALIGN=MIDDLE  ALT=\"P%28n%2C3%29+=+%28n%29%28n-1%29%28n-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Therefore, given C(n,3)=20, we can immediately deduce that P(n,3) is 6*20 = 120<br><BR>\n" );
document.write( "ANSWER (the way I read the problem): 120<br><BR>\n" );
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