At a restaurant for a fixed price you may choose from one of

At a restaurant for a fixed price you may choose from one of five entrees (grilled chicken,

grilled beef, penne pasta, cheese ravioli, salmon), one of four salads (chicken salad, house

salad, spring mix salad, tuna salad), three desserts (tiramisu, carrot cake, chocolate mousse)

and four appetizers (chicken wing, fries, fried calamari, garlic bread).

(a) How many different meals are possible, if you must select one salad, one entree, one

dessert and one appetizer?

(b) How many different meals are possible, if both the entree and the appetizer should have

chicken in it?

(c) How many different meals are possible, if none should have chicken?

(d) How many different meals are possible, if at least one of them (entrée, dessert, salad,

appetizer) should have chicken in it?

Solution

a)

There are 5*4*3*4 = 240 meals.

b)

There are (1 entree with chicken)*4*3*(1 appetizer with chicken) = 12 such meals. [answer]

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c)

(4 entrees no chicken)*(3 salads no chicken)*(3 desserts)*(3 appetizers no chicken) = 108 [answer]

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c)

n(at least one chicken) = N - n(no chicken) = 240 - 108 = 132 [ANSWER]