document.write( "Question 424256: Show all work. A disc jockey has 7 songs to play. Three are slow songs, and four are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 7 songs if
\n" ); document.write( "• The songs can be played in any order.
\n" ); document.write( "• The first song must be a slow song and the last song must be a slow song.
\n" ); document.write( "• The first two songs must be fast songs.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #295814 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
7 songs to play.
\n" ); document.write( "Three are slow songs, and
\n" ); document.write( "four are fast songs.
\n" ); document.write( "----------------------------------------------------
\n" ); document.write( "Each song is to be played only once.
\n" ); document.write( "In how many ways can the disc jockey play the 7 songs if
\n" ); document.write( "• The songs can be played in any order:::7! = 5040 ways
\n" ); document.write( "-------------------------------------------------------------------
\n" ); document.write( "• The first song must be a slow song and the last song must be a slow song.
\n" ); document.write( "1st song: 3 ways
\n" ); document.write( "last song: 2 ways
\n" ); document.write( "Middle 5 songs: 5! = 120 ways
\n" ); document.write( "Total ways: 3*2*120 720 ways
\n" ); document.write( "------------------------------------
\n" ); document.write( "• The first two songs must be fast songs.
\n" ); document.write( "1st song: 4 ways
\n" ); document.write( "2nd song: 3 ways
\n" ); document.write( "last 5 songs: 5! = 120
\n" ); document.write( "Total ways:4*3*120 = 1440 ways
\n" ); document.write( "==================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=========== \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );