<s>[INST] Lily is a coordinator at Pet Palooza, a pet adoption fair. She needs to set up 15 tables for the fair. She has 5 little dogs, 3 medium dogs, and 7 big dogs to place at the tables. She wants to put one dog at each table. The little dogs are yappy, so she doesn't want to put any of them near each other. How many ways can she arrange the dogs at the tables?[/INST]