Using venn diagram for solving word problems

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Reference no: EM1314079

Q1. A survey of one hundred students at New England College showed the following: 48 take English, 49 take History, 38 take language, 17 take English and History, fifteen take English and language, 18 take History and language, seven take all three. How many students

A.Take none of the three?
B.Take just one of the three?
C. Take history but neither of the other two?
D.Take English and history but not language?
E.Take exactly two of the three?
F.Do not take language?

Q2. The SWR Group advertised for applicants for secretarial, clerical and typist positions. Respondents could apply for one or more of the positions. The responses were as follows: 12 applied for secretary, 10 applied for clerk, 14 applied for typist, seven applied for secretary and typist, 5 applied for secretary and clerk, 3 applied for clerk and typist, 2 applied for all three, three applied for none of the positions. Make a Venn diagram and use it to find the following:

A. How many applied for the typist position only?
B. What was the total number of respondents?
C. How many applied for the secretary position but not the clerk position?

Reference no: EM1314079

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