document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363845>Question 363845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello Can someone please check my answer for me. Thank you so much. \r<BR>\n" );
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document.write( "A disc jockey has 8 songs to play. Six are slow songs, and two are fast songs.  Each song is to be played only once.  In how many ways can the disc jockey play the 8 songs if<BR>\n" );
document.write( "•	The songs can be played in any order.<BR>\n" );
document.write( "•	The first song must be a slow song and the last song must be a slow song.<BR>\n" );
document.write( "•	The first two songs must be fast songs.\r<BR>\n" );
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document.write( "Answer: <BR>\n" );
document.write( "a).The songs can be played in any order slow, slow, slow, fast, slow, fast, slow, slow. = 3slow+ 1 fast; + 3 slow +1 fast = 8<BR>\n" );
document.write( "b). The first song must be a slow song and the last song must be a slow<BR>\n" );
document.write( "     1 slow, 1fast, 1slow, 1fast, 1slow,1slow, 1slow, 1slow = 2/8 or 1/4<BR>\n" );
document.write( "c) The first two songs must be fast songs.<BR>\n" );
document.write( "   Fast, fast, slow, slow, slow, slow, slow, slow<BR>\n" );
document.write( "   =2/8 or 1/4<BR>\n" );
document.write( "Thank you,\r<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 #259488 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A disc jockey has 8 songs to play. Six are slow songs, and two are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 8 songs if<BR>\n" );
document.write( "• The songs can be played in any order.<BR>\n" );
document.write( "The 1st song is 1 of 8, then 1 of 7, then 6, etc<BR>\n" );
document.write( "= 8*7*6*5... = 8!<BR>\n" );
document.write( "= 40320<BR>\n" );
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document.write( "• The first song must be a slow song and the last song must be a slow song.<BR>\n" );
document.write( "The 1st is 1 of 6, the last is 1 of 5, the others are 1 of 6,5,4,3,2,1<BR>\n" );
document.write( "= 30*6! = 21600<BR>\n" );
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document.write( "• The first two songs must be fast songs.<BR>\n" );
document.write( "There are only 2 fast songs, so that's 2*1<BR>\n" );
document.write( "The others are 6*5*4*3*2*1 = 6!<BR>\n" );
document.write( "--> 1440<BR>\n" );
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