In a group of 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English?

Explanation

To solve the problem of how many people can speak both Hindi and English in a group of 800 people, we can use the principle of inclusion-exclusion from set theory.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Total number of people (N) = 800
- Number of people who can speak Hindi (N_H) = 550
- Number of people who can speak English (N_E) = 450
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