document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574592>Question 574592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show all work. A disc jockey has 7 songs to play. 5 are slow songs, and 2 are fast songs. each song is to be played only once. In how many ways can the disc jockey play the 7 songs if:<BR>\n" );
document.write( "a)the songs can be played in any order<BR>\n" );
document.write( "b)the first song must be a slow song and the last song must be a slow song<BR>\n" );
document.write( "c)the first two songs must be fast songs<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 #369158 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=369158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A disc jockey has 7 songs to play. 5 are slow songs, and 2 are fast songs. each song is to be played only once. In how many ways can the disc jockey play the 7 songs if:<BR>\n" );
document.write( "a)the songs can be played in any order:: 7! = 5040<BR>\n" );
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document.write( "b)the first song must be a slow song and the last song must be a slow song<BR>\n" );
document.write( "1st song: 5<BR>\n" );
document.write( "last song: 4<BR>\n" );
document.write( "middle 5 songs: 5! <BR>\n" );
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document.write( "# = 5*4*5! = 20*120 = 2400<BR>\n" );
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document.write( "c)the first two songs must be fast songs<BR>\n" );
document.write( "1st 2 songs: 2<BR>\n" );
document.write( "last 5 songs: 5! <BR>\n" );
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document.write( "# = 2*120 = 240<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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