document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200348>Question 1200348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways can we select five door prizes from seven different ones and distribute them among five people?<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 #834464 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=834464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In my opinion, the poor wording of the problem allows different interpretations; but they lead to the same answer.<br><BR>\n" );
document.write( "Probably the intended interpretation is as shown in the response from the other tutor: 1 of the seven prizes is given to the first person, then 1 of the remaining 6 is given to the second person, and so on until 1 of the remaining 3 prizes is given to the fifth person.  The answer is then 7*6*5*4*3 = 2520.<br><BR>\n" );
document.write( "But another possible interpretation is that 5 of the 7 prizes are selected, AFTER WHICH they are given to 5 people.  The number of ways of choosing 5 of the 7 prizes is C(7,5) = 21; then the number of ways to distribute them to the 5 people is 5*4*3*2*1 = 120. And so the answer using this interpretation is 21*120 = 2520.<br><BR>\n" );
document.write( "Either way....<br><BR>\n" );
document.write( "ANSWER: 2520<br><BR>\n" );
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