document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204800>Question 204800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At an annual flower show, 7 different entries are to be arranged in a row. \r<BR>\n" );
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document.write( "a) How many different arrangements of the entries are possible? <BR>\n" );
document.write( "b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154580 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=154580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) <BR>\n" );
document.write( "nP = n!<BR>\n" );
document.write( "7P = 7!<BR>\n" );
document.write( "=7*6*5*4*3*2<BR>\n" );
document.write( "=5040<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b)<BR>\n" );
document.write( " nCr = n!/[(n-r)!*r!] because arrangement is not important <BR>\n" );
document.write( "7C3 <BR>\n" );
document.write( "= 7!/(7-3)!*3!<BR>\n" );
document.write( " =( 7*6*5*4!)/(4!*3!)<BR>\n" );
document.write( "=(7*6*5)/(3*2)<BR>\n" );
document.write( "=35 ways<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
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