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

x = 2.

<U>Answer</U>. 2 students learn all 3 languages. Option b).
</pre>


For details on how to solve it, see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/misc/Advanced-probs-counting-elements-in-sub-sets-of-a-given-finite-set.lesson>Advanced problems on counting elements in sub-sets of a given finite set</A>

in this site.