A survey of 100 students at New England College showed the following: 47 take English. 49 take history. 37 take language. 14 take English and history. 16 take English and language. 17 take history and...


A survey of 100 students at New England College showed the following:



  • 47 take English.

  • 49 take history.

  • 37 take language.

  • 14 take English and history.

  • 16 take English and language.

  • 17 take history and language.

  • 6 take all three.



How many students do the following? (See Example 6. For each answer, enter an exact number.)



(a)




Take history but neither of the other two?
 students





(b)




Take English and history but not language?
 students





(c)




Take none of the three?
 students





(d)




Take just one of the three?
 students





(e)




Take exactly two of the three?
 students





(f)




Do not take language?
 students




Jun 02, 2022
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