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In a committee, 50 people speak French,...

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?

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To solve the problem of how many people in the committee speak at least one of the two languages (French or Spanish), we can use the principle of inclusion-exclusion. Here’s a step-by-step solution: ### Step 1: Define the Sets Let: - \( F \) be the set of people who speak French. - \( S \) be the set of people who speak Spanish. From the problem, we know: ...
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