document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86027>Question 86027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this question? It is from Algebra II, A Beka Book. <BR>\n" );
document.write( "The athletic director has 6 trophies won by school teams this year, but only enough space in the trophy case to display 3 at a time.  How many different ways can he display the trophies if order is important? Thank you so much for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62149 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=62149\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The athletic director has 6 trophies won by school teams this year, but only enough space in the trophy case to display 3 at a time.  How many different ways can he display the trophies if order is important? Thank you so much for your help.<BR>\n" );
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document.write( "# of ways to pick 3 of the 6 trophies: 6C3 = [6*5*4]/[1*2*3] = 20<BR>\n" );
document.write( "# of ways to arrange each of the groups of 3 trophies: 3!= 6<BR>\n" );
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document.write( "# of ways to select and then arrange = 20*6 = 120<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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