document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127241>Question 127241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At an annual flower show, 6 different entries are to be arranged in a row. <BR>\n" );
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? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106030 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) 6 ways to pick the first one in line, times 5 ways to pick the second, and so on, also expressed as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%21 ALIGN=MIDDLE  ALT=\"6%21\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You do the arithmetic.\r<BR>\n" );
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document.write( "b) Since you are giving 3 different prizes, the order of the outcome is significant.  Therefore, you need the Permutation of 6 things taken 3 at a time.  The formula for the Permutation of n things taken r at a time is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bn%2Cr%5D=n%21%2F%28n-r%29%21 ALIGN=MIDDLE  ALT=\"P%5Bn%2Cr%5D=n%21%2F%28n-r%29%21\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Again, you do the arithmetic. </SPAN>\n" );
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