For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert. Here are the items to choose from.
Choice
Possible items
Appetizer
Shrimp cocktail, Onion rings, Buffalo wings
Entree
Grilled chicken, Lamb, Roast turkey, Salmon
Side dish
French fries, Baked potato, Mixed vegetables, Rice, Pinto beans
Dessert
Brownies, Ice cream, Cheesecake, Apple pie
How many dinner specials are possible?

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?