Answer:
Option D.
Step-by-step explanation:
Total number of students = 75
48 like Pizza, 45 like Hoagies, 58 like tacos, 28 like pizza and hoagies,
37 like hoagies and tacos, 40 like pizza and tacos, 25 like all three food
Using these information we get
Like pizza and hoagies but not tacos = 28-25=3
Like hoagies and tacos but not Pizza = 37-25=12
Like pizza and tacos but not hoagies = 40-25 = 15
Only Pizza = 48- 3 -15 -25 = 5
Only Hoagies = 45- 3 -12 -25 = 5
Only tacos = 58 - 12 - 15 - 25 = 6
Number of students who like none = 75 - 48 - 45- 58+28+37+40-25 = 4
The number of students who like none or only one of the foods is
[tex]5+5+6+4=20[/tex]
Therefore, the correct option is D.
