document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=636129>Question 636129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. Completely lost...\r<BR>\n" );
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document.write( "In how many ways can the letters in the word TRANSPORTATION be arranged if the first letter must be an A and the last letter must not be a T?\r<BR>\n" );
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document.write( "Would really appreciate it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400753 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=400753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first letter must be an A. So the word looks like\r<BR>\n" );
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document.write( "A _ _ _ _ _ _ ...\r<BR>\n" );
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document.write( "So you're really arranging 14-1 = 13 letters in 13 slots\r<BR>\n" );
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document.write( "The last letter must not be a T. So you have 13-1 = 12 choices for the last slot\r<BR>\n" );
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document.write( "The other slots go like this:\r<BR>\n" );
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document.write( "You have 13-1 = 12 choices for the second slot (after you choose a letter that is not T for the last slot)\r<BR>\n" );
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document.write( "You have 12-1 = 11 choices for the third slot\r<BR>\n" );
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document.write( "You have 11-1 = 10 choices for the fourth slot\r<BR>\n" );
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document.write( "etc\r<BR>\n" );
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document.write( "etc\r<BR>\n" );
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document.write( "all the way down to\r<BR>\n" );
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document.write( "You have 2 choices for the second to last slot\r<BR>\n" );
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document.write( "You have 1 choice for the last slot\r<BR>\n" );
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document.write( "Multiply all these choices out:\r<BR>\n" );
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document.write( "12*12*11*10*9*8*7*6*5*4*3*2*1 = 5748019200\r<BR>\n" );
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document.write( "Now divide by 2!*2!*3! = 4*4*6 = 96 to get 5748019200/96 = 59,875,200\r<BR>\n" );
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document.write( "This is to correct for the duplicates\r<BR>\n" );
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document.write( "So there are 59,875,200 ways to arrange the letters.\r<BR>\n" );
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document.write( "Note: if you are entering this into an online system, then chances are that you'll have to enter the number WITHOUT commas </SPAN>\n" );
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