In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks at least one language. (i) How many people can speak both Hindi and English? (ii) How many people can speak Hindi only? (iii) How many people can speak English only?
Text Solution
AI Generated Solution
To solve the problem step by step, we will use the principles of set theory, particularly the inclusion-exclusion principle.
### Given Data:
- Total number of people (N) = 500
- Number of people who speak Hindi (|A|) = 350
- Number of people who speak English (|B|) = 300
- Each person speaks at least one language.
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