document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472796>Question 472796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fashion magazine runs a competition, in which 8 photographs of dresses are shown, lettered<BR>\n" );
document.write( "A, B, C, D, E, F, G and H. Competitors are asked to submit an arrangement of 5 letters<BR>\n" );
document.write( "showing their choice of dresses in descending order of merit. The winner is picked at random<BR>\n" );
document.write( "from those competitors whose arrangement of letters agrees with that chosen by a panel of<BR>\n" );
document.write( "experts.<BR>\n" );
document.write( "(i) Calculate the number of possible arrangements of 5 letters chosen from the 8.<BR>\n" );
document.write( "Calculate the number of these arrangements<BR>\n" );
document.write( "(ii) in which A is placed first,<BR>\n" );
document.write( "(iii) which contain A.\r<BR>\n" );
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document.write( "*Please answer as soon as possible bro :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324151 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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/cgi-bin/show-face.mpl?user=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "(i) Calculate the number of possible arrangements of 5 letters chosen from the 8.\r<BR>\n" );
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document.write( "number of arrangements = 8P5 = 8!/3! = 6720\r<BR>\n" );
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document.write( "Calculate the number of these arrangements<BR>\n" );
document.write( "(ii) in which A is placed first,<BR>\n" );
document.write( "number of arrangements = 7P4 = 7!/3! = 840\r<BR>\n" );
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document.write( "(iii) which contain A. <BR>\n" );
document.write( "number of ways to select another 4 letters (excluding A) = 7C4 = 35\r<BR>\n" );
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document.write( "number of ways to arrange these 5 ( including A) = 5! = 120\r<BR>\n" );
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document.write( "total possible arrangement that contains A  = 120*35 = 4200\r<BR>\n" );
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document.write( "if any doubt, you are welcome to ask ... </SPAN>\n" );
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