Concept:Statement
P means every Literature student is also a History student, so
L is a subset of
H.
Statement
Q means no History student offers Geography, so
H and
G are disjoint sets.
Explanation:Since all students offering Literature also offer History, the circle for
L must lie completely inside the circle for
H.
Since students offering History do not offer Geography, the circles for
H and
G must not overlap at all.
Thus, the correct Venn diagram must show
L⊆H and
H∩G=∅.
This means Geography is drawn separately from History, while Literature is inside History.
The diagram that satisfies both conditions is the correct representation.
Answer:Option D.
