Asurvey was conducted to determine the popularity of 3 foods among students. the data collected from 75 students are summarized as below:
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
what is the number of students who like none or only one of the foods?
a. 4
b. 16
c. 17
d. 20
e. 23

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

Therefore, the correct option is D.

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