document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175392>Question 175392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways can you fill three different positions by choosing from 15 different people? I keep getting 15 3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130457 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many ways can you fill three different positions by choosing from 15 different people? I keep getting 15 3.<BR>\n" );
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document.write( "For the 1st choice, you have one of 15.  The 2nd is one of 14, the 3rd one of 13.<BR>\n" );
document.write( "So it's 15*14*13 = 2730<BR>\n" );
document.write( "But, if you choose any of the people 1st, 2nd or 3rd, it's the same group (called without ordering), so you have to divide by 3*2*1 (= 6).<BR>\n" );
document.write( "2730/6 = 455.<BR>\n" );
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