document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507701>Question 507701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many ways are there to choose 3 separate officeholder positions (pres,vp etc) from a group of 12 people?\r<BR>\n" );
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document.write( "at first i tried 12*11*10=1320<BR>\n" );
document.write( "i tried this formula 12!/3!(12-3)!= 220 <BR>\n" );
document.write( "But then i was told it was just 12! \r<BR>\n" );
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document.write( "just want a conformation, thank you ahead of time </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340695 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=340695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since order matters, you'll use the permutation formula\r<BR>\n" );
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document.write( "P(n,r) = n!/(n-r)!\r<BR>\n" );
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document.write( "In this case, n = 12 and r = 3\r<BR>\n" );
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document.write( "P(n,r) = n!/(n-r)!\r<BR>\n" );
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document.write( "P(12,3) = (12!)/((12-3)!)\r<BR>\n" );
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document.write( "P(12,3) = (12!)/(9!)\r<BR>\n" );
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document.write( "P(12,3) = (12*11*10*9!)/(9!)\r<BR>\n" );
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document.write( "P(12,3) = 12*11*10\r<BR>\n" );
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document.write( "P(12,3) = 1320\r<BR>\n" );
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document.write( "So there are 1320 different ways to choose 3 separate officeholder positions.\r<BR>\n" );
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document.write( "Let me know if you need more help or if you need me to explain a step in more detail.<BR>\n" );
document.write( "Feel free to email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a><BR>\n" );
document.write( "or you can visit my website here: <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">http://www.freewebs.com/jimthompson5910/home.html</a>\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jim  </SPAN>\n" );
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