Let U represent the set of all people that frequently visit a certain restaurant, surveyed about which food they like best. Let:
B = { x ∈ U | x likes Hamburgers }
C = { x ∈ U | x likes Corn Dogs }
P = { x ∈ U | x likes Pizza }

1. Write the statement that refers to: P ∩ ( C ∪ B ) c .

a. The set of customers who like Pizza or Corn Dogs or Burgers.
b. The set of customers who like all three foods given.
c. The set of customers who like Pizza but not Corn Dogs or Burgers.
d. The set of customers who like Pizza and Corn Dogs but not Burgers.
e. The set of customers who do not like any of these foods given.
f. None of the above.

2. Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that classroom. Find n(S ∩ F) given that

n(S) = 54, n(F) = 28 and n(S ∪ F) = 58

a. 112
b. 24
c. 82
d. 0
e. 140
f. None of the above.

3. Suppose that n(U) = 200, n(A) = 115, n(B) = 120, and n( A ∩ B ) = 50. Find n( A c ∪ B ).

a. 135
b. 85
c. 65
d. 70
e. 120
f. None of the above.