SOLUTION: According to a survey of 100 students, there are 40 students studying English, 30 studying French, and 25 studying Spanish. In addition, 8 students are studying English and French,

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Question 1042734: According to a survey of 100 students, there are 40 students studying English, 30 studying French, and 25 studying Spanish. In addition, 8 students are studying English and French, 6 are studying English and Spanish, 5 are studying French and Spanish, and 22 are not studying any of the three languages. Which of the following is the number of students studying all three languages?
a) 1
b) 2
c) 3
d) 4
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
According to a survey of 100 students, there are 40 students studying English, 30 studying French, and 25 studying Spanish.
In addition, 8 students are studying English and French, 6 are studying English and Spanish, 5 are studying French and Spanish,
and 22 are not studying any of the three languages. Which of the following is the number of students studying all three languages?
a) 1
b) 2
c) 3
d) 4
~~~~~~~~~~~~~~~~~~~~ 

100- 22 = 40 + 30 + 25 - 8 - 6 - 5 + x.   --->

x = 2.

Answer. 2 students learn all 3 languages. Option b).


For details on how to solve it, see the lesson
    - Advanced problems on counting elements in sub-sets of a given finite set
in this site.


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