From a survey of 120 people, the following data was obtained: 90 owned a car, 35 owned a computer, 40 owned a house, 32 owned a car and a house, 21 owned a house and a computer, 26 owned a car and a computer, 17 owned all the three facilities.

i) How many people owned neither of the three.

ii) How many people owned only a car?

iii) How many people owned only a computer?

To solve this problem using principles from Discrete Mathematics, we can use a Venn diagram and the Inclusion-Exclusion Principle. 

Let's define some sets:

- Let A be the set of people who own a car.
- Let B be the set of people who own a computer.
- Let C be the set of people who own a house.
- Let U be the universal set of all 120 people surveyed.

We are given the following information:

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