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Let U represent the set of all people that frequently visit a certain restaurant, surveyed about which food they like best. Let B = {

LetUrepresent the set of all people that frequently visit a certain restaurant, surveyed about which food they like best. Let

B= {xU|xlikes Hamburgers }

C= {xU|xlikes Corn Dogs }

P= {xU|xlikes Pizza }

(Assume these sets are not disjoint.)Write the statement that refers to:P (CB)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.

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