In a group of 1000 people, there are 750 who can speak Hindi and 400 who can speak Bengali. How many can speak Hindi only? How many can speak Bengali only? How many can speak both Hindi and Bengali?

Explanation

To solve the problem step by step, we can use the principle of inclusion-exclusion and set theory. Let's denote:

- \( H \): the set of people who can speak Hindi
- \( B \): the set of people who can speak Bengali

From the question, we know:
- Total number of people, \( n = 1000 \)
- Number of people who can speak Hindi, \( |H| = 750 \)
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