document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403530>Question 403530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help to solve this world problem. Please help me, I need the formula.<BR>\n" );
document.write( "There are 14 people running for President, Vice President and Secretary. How many different arrangments can be made? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285325 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=285325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula is  n P r = n!/(n-r)!\r<BR>\n" );
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document.write( "In your case, n=14 and r = 3\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "14 P 3 = 14!/(14-3)! = 14!/11! = (14*13*12*11!)/11! = 14*13*12 = 2184\r<BR>\n" );
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document.write( "So there are 2,184 different arrangements. </SPAN>\n" );
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