In a committee, 40 person can speak Hindi 20 can speak English and 10 can speak both languages. Find how many persons can speak atleast one language ?

Explanation

To solve the problem of how many persons can speak at least one language in the committee, we can use the principle of inclusion-exclusion. Here’s the step-by-step solution:

### Step 1: Identify the given values
- Let \( A \) be the set of persons who can speak Hindi.
- Let \( B \) be the set of persons who can speak English.
- The number of persons who can speak Hindi, \( |A| = 40 \).
- The number of persons who can speak English, \( |B| = 20 \).
- The number of persons who can speak both languages, \( |A \cap B| = 10 \).
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