document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193209>Question 1193209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A team is being formed that includes 6 different people. There are six different positions on the <BR>\n" );
document.write( "teams. How many ways are there to assign the six people to the six positions? <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 #825219 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=825219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "We start at 6 and count down by 1 until all six slots are full. <BR>\n" );
document.write( "For more information, check out the concept dealing with factorials.<BR>\n" );
document.write( "A very closely related topic would be permutations.\r<BR>\n" );
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document.write( "6 ways to fill slot A<BR>\n" );
document.write( "5 ways to fill slot B<BR>\n" );
document.write( "4 ways to fill slot C<BR>\n" );
document.write( "3 ways to fill slot D<BR>\n" );
document.write( "2 ways to fill slot E<BR>\n" );
document.write( "1 way to fill slot F\r<BR>\n" );
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document.write( "There are 6*5*4*3*2*1 = 720 ways to fill the six positions where order matters.<BR>\n" );
document.write( "Order matters because each position or seat is different from one another.\r<BR>\n" );
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document.write( "Answer: 720<BR>\n" );
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