
Al P. answered 06/25/18
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Assuming each meal consists of exactly one of {appetizer, pasta, salad, main course, dessert} then you have
3*6*2*4*5 = 720 possible 5-course meals
As an aside: if you were to allow a person to skip a any one or more of those courses, that essentially adds one choice ("skip") to each course: 4*7*3*5*6 = 2520 possible meals with 5 or fewer courses