Question

in a class of 70 students 30 visited ooty hill stations, 40visited horsley hills and 10 visited both of them. how many visited at least one of the two hill stations?

Answer 1

When calculating the number of students who visited at least one of the two hill stations, we add the number of students visiting each hill station and then subtract those who visited both, resulting in a total of 60 students.

Step-by-step explanation:

The number of students who visited at least one of the two hill stations can be found using the principle of inclusion and exclusion. To avoid double counting the students who visited both hill stations, add the number of students who visited each station and then subtract the number of students who visited both.

Number of students who visited at least one of the hill stations = (Number who visited Ooty) + (Number who visited Horsley Hills) - (Number who visited both).

According to the information provided:

• Number who visited Ooty = 30
• Number who visited Horsley Hills = 40
• Number who visited both = 10

Therefore, we calculate:

30 (Ooty) + 40 (Horsley Hills) - 10 (Both) = 60 students visited at least one of the hill stations.