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A person has twelve favorite songs. 3 of them are pop, 5 of them are rock, two of them are metal, 1 is classical, and

A person has twelve favorite songs. 3 of them are pop, 5 of them are rock, two of them are metal, 1 is classical, and 1 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 playlist exist where all the songs of the same genre are arranged in sequence ? c) how many playlist exist where all the pop songs are arranged in sequence

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