# In a certain town, 25% of the families own a phone and 15% own a car ; 65% families own neither a phone nor a car and 2,000 families own both a car and a phone. Consider the following three statements :(a) 5% families own both a car and a phone.(b) 35% families own either a car or a phone.(c) 40,000 families live in the town. Then, Option 1) Only (a) and (b) are correct. Option 2) Only (a) and (c) are correct. Option 3)  Only (b) and (c) are correct Option 4) .  All (a), (b) and (c) are correct.

As we learnt in

Number of Elements in Union A & B -

n (A ∪ B) = n (A) + n (B) – n (A ∩ B)

- wherein

Given A and B be any finite sets. then Number of Elements in union A & B is given by this formula.

Let x families live in the town according to question.

Now,  according to formalue

Statement 4

It is 5% of 4000

Correct option is 4.

Option 1)

Only (a) and (b) are correct.

This is an incorrect option.

Option 2)

Only (a) and (c) are correct.

This is an incorrect option.

Option 3)

Only (b) and (c) are correct

This is an incorrect option.

Option 4)

.  All (a), (b) and (c) are correct.

This is the correct option.

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