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Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for each problem. 1. A survey of 80 sophomores at a certain western college showed the following: 36 take English ,32 take history 32 take political science 16 take history and English 16 take political science and history ,14 take political science and English 6 take all three How many students: a) take English and neither of the other two? ____________ b) Take none of the three courses? ____________ c) take history, but neither of the other two? ____________ d) take political science and history but not English? ____________ e) do not take political science?
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