In a class of 70 students 30 visited Ooty Hill stations, 40visited Horsley Hills and 10 visited both of them. How many visited none of the hill stations?
Select one:
a. 40
b. 35
c. 10
d. 20
Answers
Answer:
30,oaty
40,Horsley
10,both
30+10=40=oaty
40+10=50=Horsley
10 students visited both s we add 10 on both oaty and Horsley.
so answer is Horsley_ oaty
50 _ 40 = 10
10 of them visited none of hill stations
hope you enjoy my answer
Given:
In a class of 70 students.
30 visited Ooty Hill stations,
40 visited Horsley Hills.
10 visited both of them.
To find:
How many visited none of the hill stations.
Formula to be used:
n(A ∪ B) = n(A) + n(B) - n(A∩B)
Solution:
Total number of students = 70
We can find the number of students who don't visited any of the hill stations by using the following formula,
n(A ∪ B) = n(A) + n(B) - n(A∩B)
30 visited Ooty Hill stations, n(A) = 30
40 visited Horsley Hills., n(B) = 40
10 visited both of them, n(A∩B) = 10
n(A ∪ B) = 30 + 40 - 10
n(A ∪ B) = 70 - 10
n(A ∪ B) = 60
Therefore,
Number of students who don't visited any of the hill stations = 70 - 60
Number of students who don't visited any of the hill stations = 10
Final answer:
10 students from the class did not visited any of the hill stations.
Thus, the correct option is c. 10