In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ?
Question
In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ?
Solution
To solve this problem, we need to add up all the people who can speak each language, and then subtract the people who can speak multiple languages to avoid double-counting them.
- Add up all the people who can speak each language: 6 (Tamil) + 15 (Hindi) + 6 (Gujarati) = 27 people
- Subtract the people who can speak two languages: 27 - 2 = 25 people
- Subtract the person who can speak all three languages: 25 - 1 = 24 people
So, there are 24 people in the group.
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