document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765458>Question 765458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A disc jockey can play eight records in a 30-minute segment of her show. For a particular 30-min segment she has 12 records to select from. In how many ways can she arrange her program for the particular segment? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466168 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=466168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If order matters, then...\r<BR>\n" );
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document.write( "n P r = (n!)/((n-r)!)\r<BR>\n" );
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document.write( "12 P 8 = (12!)/((12-8)!)\r<BR>\n" );
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document.write( "12 P 8 = (12!)/(4!)\r<BR>\n" );
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document.write( "12 P 8 = (12*11*10*9*8*7*6*5*4!)/(4!)\r<BR>\n" );
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document.write( "12 P 8 = 12*11*10*9*8*7*6*5\r<BR>\n" );
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document.write( "12 P 8 = 19958400\r<BR>\n" );
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document.write( "So there are <font color=\"red\">19,958,400</font> different ways to do this (assuming order matters).<BR>\n" );
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