A disc jockey (DJ) has 8 songs to play. Four are slow songs, and 4 are fast songs. Each song is to be played only once. a) In how many ways can the DJ play the 8 songs if the songs can be played in any order? b) In how many ways can the DJ play the 8 songs if the first song must be a slow song and the last song must be a slow song? c) In how many ways can the DJ play the 3 songs if the first two songs must be fast songs? a) If the songs can be played in any order, the DJ can play the 8 songs in different ways. (Type a whole number.) b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 8 songs in different ways. (Type a whole number.) c) If the first two songs must be fast songs, the DJ can play the 8 songs in different ways. (Type a whole number.)