Level pending

One day, a particular family went to a restaurant to have their Christmas dinner. This family has $$4$$ children, Adam, Ben, Carrie and David who are choosy over their food. Luckily, the restaurant provides $$4$$ set meals specifically made for choosy children, namely, Chicken Burger, Vegetable Frenzy, Spicy Gala and Steak.

Adam doesn't eat chicken and vegetable; Ben doesn't eat spicy food; Carrie doesn't eat chicken; and David doesn't eat beef. In how many ways can Mum order for a different set meal for each of the $$4$$ children such that all end up satisfied? (The children don't want to be called "copycats" so they all want different set meals from each other.)

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