document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107627>Question 1107627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a segment of a radio&#8203; show, a disc jockey can play 6 records. If there are 9 records to select&#8203; from, in how many ways can the program for this segment be&#8203; arranged? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722677 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=722677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from the other tutor is confusing; he seems to be saying that order does not matter, but then his answer is if order DOES matter.<br><BR>\n" );
document.write( "Since the question asks how many ways the program be arranged, to me that implies that order does matter.  Then the number of ways is<br><BR>\n" );
document.write( "P(9,6) = 9*8*7*6*5*4 = 60480.<br><BR>\n" );
document.write( "If the question was intended only to ask which 6 of the 9 songs he could choose, with order not being important, then the number would be C(9,6) = C(9,3) = (9*8*7)/(3*2*1) = 84. </SPAN>\n" );
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