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Inclusion-Exclusion Principle

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In a group of 100 people, 60 speak English, 40 speak Spanish, and 20 speak both English and Spanish. How many people speak neither English nor Spanish?

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A
20
💡 Explanation:

Using the Inclusion-Exclusion Principle, we can calculate the number of people who speak neither language as follows: Total people - (English speakers + Spanish speakers - Bilingual speakers) = 100 - (60 + 40 - 20) = 20.

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