Lucy's Playlist

Discrete Mathematics Level 4

Lucy is planning to run for an hour, and she's using her iPod for the countdown, so she has to create a 60-minute playlist.

Her iPod contains:

  • six 5-minute songs;
  • five 6-minute songs;
  • four 8-minute songs.

Count the number of possibles playlists where the order doesn't matter.

Details and Assumptions:

  • She must use up all 60 minutes for the playlist.

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