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In a group of 500 people, 350 speak Hind...

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 set theory concepts. Let's denote: - \( H \): the set of people who speak Hindi - \( E \): the set of people who speak English Given data: - Total number of people, \( |H \cup E| = 500 \) - Number of people who speak Hindi, \( |H| = 350 \) ...
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