A disc jockey (DJ) has 10 songs to play. Three are slow songs, and 7 are fast songs. Each song is to be played only once. a) In how many ways can the DJ play the 10 songs if the songs can be played in any order? b) In how many ways can the DJ play the 10 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 10 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 10 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 10 songs in different ways. (Type a whole number.) c) If the first two songs must be fast songs, the DJ can play the 10 songs in different ways. (Type a whole number.)