1. A college cafeteria line has four stations: salads, main courses, desserts, and beverages. The salad station offers a choice of green salad or fruit salad: the main course station offers spaghetti or fish: the dessert station offers pie or cake: and the beverages station offers milk, soda, or coffee. Three students, Uta, Tim and Yuen, go through the line and make the following choice:

Uta: Green salad, spaghetti, pie, milk

Tim: fruit salad, fish, pie, cake, milk, coffee

Yuen: spaghetti, fish, pie, soda

Write each of the following notational statement in English and find its truth value:

(a) an item I such that students S, S chose I.

(b) a student S such that items I, S chose I.

(c) a student S such that stations Z, an item I in Z such that S chose I.

(d) students S and stations Z, and item I in Z such that S chose I.