document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321173>Question 321173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the track team has 10 trophies but there is only room for 4 of them on a shelf.  How many different ways can 4 trophies out of the ten be arranged on the shelf? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230004 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=230004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the track team has 10 trophies but there is only room for 4 of them on a shelf. How many different ways can 4 trophies out of the ten be arranged on the shelf?<BR>\n" );
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document.write( "# of ways to pick 4 from 10: 10C4 = (10*9*8*7)/(1*2*3*4) = 210<BR>\n" );
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document.write( "# of ways to arrange the 4 on the shelf: 4! = 24<BR>\n" );
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document.write( "Total # of arrangements = 24*210 = 5040<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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