In the following diagram, Set U is the universal set, and Set L, M and N represent students studying History, Geography and Language, respectively.
Based on the given data, what is the total number of students studying Language and Geography but not History?
To find the total number of students studying Language and Geography but not History, we need to look at the intersection of Sets L (Language) and M (Geography) excluding Set N (History) in the Venn diagram.
The Venn diagram provided shows:
- The number inside the intersection of all three sets (L, M, and N) is 2.
- The number inside the intersection of M and L, excluding N, is 9.
We are only interested in students studying both Language and Geography without including History, which corresponds to the segment that has the number 9.
Therefore, the total number of students studying both Language and Geography but not History is 9.
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