K
A
Use the Venn diagram and the given conditions to determine the number of elements in
each region, or explain why the conditions are impossible to meet.
n(U)=40, n(A) = 12, n(B)=22, n(C)=19, n(ANB)=5, n(An C)=4, n(B nC) = 12,
on(AnBnC)=3
OA. The number of elements in regions I, II, III, IV, V, VI, VII, VIII are
respectively.
B. It is impossible to meet the conditions because there are only
elements in set A that are also in set B or C. A similar problem
min
#
elements in set A but there are
exists for set C. (Simplify your answers.)
OC. It is impossible to meet the conditions because there are only elements in set B but there are
elements in set B that are also in set A or C. A similar problem exists for set C. (Simplify your answers.)
√i
Vi
U
(0,8)
I
II
V.
IV VI
VII
B
III
VIII
x