Question

please answer me fast guys please please please​

Answer 1

Step-by-step explanation:

120-80=40

40 people own car but not a bike..

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Answer 2

Given : A Survey is conducted among 120 people.

Let the number of people who own bikes be : n(B)

Let the number of people who own cars be : n(C)

As the Survey is conducted among 120 people :

$:\implies$  n(B U C) = 120

Given : 80 people in the locality own bikes

$:\implies$  n(B) = 80

Given : 45 people in the locality own only bikes but not cars

It means 45 people own only bikes but not cars

$:\implies$  n(B - C) = 45

Now, If we subtract the number of people who own only bikes but not cars from the number of people who own bikes, We get the number of people who own both bikes and cars.

$:\implies$  n(B ∩ C) = n(B) - n(B - C)

$:\implies$  n(B ∩ C) = 80 - 45

$:\implies$  n(B ∩ C) = 35

So, The number of people who own both bikes and cars is 35

We know that, Sum of the number of people who own only bikes but not cars and the number of people who own both bikes & cars and the number of people who own only cars but not bikes should be equal to total number of people among which the survey is conducted.

$:\implies$  n(B ∪ C) = n(B - C) + n(B ∩ C) + n(C - B)

Substituting the respective values in the above equation, We get :

$:\implies$  120 = 45 + 35 + n(C - B)

$:\implies$  n(C - B) + 80 = 120

$:\implies$  n(C - B) = 120 - 80

$:\implies$  n(C - B) = 40

So, The Number of people who own a car but not a bike is 40