A disc jockey (DJ) has 8 songs to play. are slow songs, and 5 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 8 songs if the first two songs must be fast songs

Explain it and need typed answers

Thank you