document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534195>Question 534195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A party has 6 different door prizes. If there are 42 guests at the party and nobody can win more than one prize, how many ways are there to give out the prizes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351382 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=351382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A party has 6 different door prizes. If there are 42 guests at the party and nobody can win more than one prize, how many ways are there to give out the prizes?<BR>\n" );
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document.write( "1st prize: 42 ways<BR>\n" );
document.write( "2nd prize: 41 ways<BR>\n" );
document.write( "...<BR>\n" );
document.write( "6th prize: 37 ways<BR>\n" );
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document.write( "Ans: 42P6 = 42!/(42-6) = 42!/36! = 42*41*40*39*38*37 = 3,776,965,920 ways<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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