A person has twelve favorite songs. Five of them are pop, three of them are rock, two of them are metal, one is classical, and one is from a soundtrack. The person wishes to make a playlist of all of these songs by randomly arranging them (note: the playlist must consist of all 12 songs). a) how many playlist exist where the first song in the playlist is metal ? b) how many different unique playlist are possible ? c) how many playlist exist where all the songs of the same genre are arranged in sequence ? d) how many playlist exist where all the pop songs are arranged in sequence