Interpreting Venn Diagrams 5 questions;algebra

Interpreting Venn Diagrams with algebra using multiplication,addition, subtraction and graphs. Analyzing data. 5 questions all in pictures below. Thank you!!

Consider the Venn Diagram below.
D
B
3
3
5
1
8
n(A)
n(B)=
n(An B)
n(AUB)
n(A)
n(B)
Consider the Venn diagram shown below.
A
B
8
3
7
10
2
9
12
с
5
Determine the following cardinalities.
n(A) =
n(AUB) =
n(An) =
n(An BnC) =
n(AU BUC) =
n(A n BAC) =
Cars in a parking lot:
SUV
Honda
11
15
7
Red
5
6
How many SUV’s are in the parking lot?
How many red Hondas are in the parking lot?
How many of the red cars in the parking lot are not SUV’s?
How many cars are in the parking lot?
A group of 2405 students were surveyed about the courses they were taking at their college with the following results:
1312 students said they were taking Psychology.
1010 students said they were taking History.
1275 students said the/y were taking Dance.
491 students said they were taking Dance and History.
675 students said they were taking Dance and Psychology.
603 students said they were taking History and Psychology.
284 students said they were taking all three courses.
Fill in the following Venn Diagram with the cardinality of each region.
Dance
History
II.
I.
III.
V.
IV.
VI.
VII.
VIII.
Psychology
Let S = {1, 2, 3, …, 18, 19, 20} be the universal set.
Let sets A and B be subsets of S, where:
Set A = {2, 3, 5, 6, 7, 8, 11, 17, 18, 20}
Set B = {2,3, 11, 12, 13, 18, 19, 20}
Determine the following:
n(A) =
n(A)
n(B) =
n(ANB) =
n(AUB) =