Identifies correctly: permutation, combination, counting principle.
8). After all of this partying, you have a LOT of
leftovers! As a final celebration of leftovers, you will
have fresh drinks & desserts to go with everything. You
have coffee, milk, tea, juice, and soda. You have
Donati's deliver 4 of their desserts. Each member of
your family makes another mini-pizza (like #5), makes
one salad (like #7), takes 1 drink, and (to be real here)
eats two different desserts! How many different meals
are possible?

Permutations are used when the order of selection matters. For the meals in this scenario, choosing an appetizer, entrée, and dessert would involve permutations as the order in which they are selected matters. For instance, if you choose salad, pizza, and coffee, it would be different from choosing coffee, salad, and pizza.

Combinations come into play when the order doesn't matter. In the context of this question, counting the different combinations of meals possible disregards the order in which the items are selected. It focuses solely on the different meal options that can be assembled from the available choices.

Counting principle is utilized to calculate the total number of different outcomes by multiplying the number of options available at each step. In this case, by multiplying the number of choices for appetizers, entrées, and desserts, you can determine the total possible meal combinations.

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