Question

There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
How many people didn't use any facilities?

this is urgent so i will make the first person to answer correctly brainliest. :))

Answer 1

Answer:

9

Step-by-step explanation:

Using formula,

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(C ∩ A) + P(A ∩ B ∩ C)

P(A ∪ B ∪ C) = 61 + 68 + 60 - 25 - 30 - 19 + 6

P(A ∪ B ∪ C) = 121

121 people use facilities.

Therefore total 130-121 = 9 people didn't use any facilities.