In a class of 70 students 30 visited Ooty Hill stations, 40visited Horsley Hills and 10 visited both of them. How many visited only Ooty Hill station?a.10b.15c.25d.20
Question
In a class of 70 students 30 visited Ooty Hill stations, 40visited Horsley Hills and 10 visited both of them. How many visited only Ooty Hill station?a.10b.15c.25d.20
Solution
The problem can be solved by using the principle of inclusion and exclusion.
Step 1: Identify the total number of students who visited Ooty Hill station. This is given as 30.
Step 2: Identify the number of students who visited both Ooty Hill station and Horsley Hills. This is given as 10.
Step 3: Subtract the number of students who visited both places from the total number of students who visited Ooty Hill station. This will give you the number of students who visited only Ooty Hill station.
So, the calculation is: 30 (total who visited Ooty) - 10 (those who visited both) = 20.
Therefore, 20 students visited only Ooty Hill station. So, the answer is d. 20.
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