2. A survey of 80 freshmen at a certain college showed the following: 36 take English 32 take political science 16 take political science and history 14 take political science and English 32 take history 16 take history and English 6 take all three Please complete the Venn Diagram: 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?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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2. A survey of 80 freshmen at a certain college showed the following:
36 take English
32 take political science
16 take political science and history 14 take political science and English
32 take history
16 take history and English
6 take all three
Please complete the Venn Diagram:
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?
Transcribed Image Text:2. A survey of 80 freshmen at a certain college showed the following: 36 take English 32 take political science 16 take political science and history 14 take political science and English 32 take history 16 take history and English 6 take all three Please complete the Venn Diagram: 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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