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In a survey of 100 students, the number of students studying the various languages was found to be: English only 18, English but not Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and Hindi 8, no language 24. Find: How many students were studying English and Hindi?

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From q1 we have n(E ∩ H) = 3 

∴ 3 students study both hindi and English.

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