Shade the region (A∪B)′∩C in a Venn diagram with three intersecting sets A, B, and C.

Describe the shaded region in question 1 in words.

In a class of 40 students, 18 play cricket, 15 play football, and 12 play volleyball. 5 play cricket and football, 4 play football and volleyball, and 3 play cricket and volleyball. 2 students play all three sports. Represent this information in a Venn diagram.

Using the diagram from question 3, find the number of students who play only cricket.

How many students play exactly two sports?

How many students play at least one of the three sports?

How many students do not play any of these three sports?

If a student is chosen at random, what is the probability that they play cricket or football but not volleyball?

Let E = {integers from 1 to 20}, A = {multiples of 2}, B = {multiples of 3}, C = {multiples of 5}. Find n(A∩B∩C).

Using the sets from question 9, find n(A∪B∪C)′.

A survey of 100 people found that 70 watch TV, 40 read newspapers, and 30 listen to the radio. 20 watch TV and read newspapers, 15 listen to radio and read newspapers, and 25 watch TV and listen to radio. 10 people do all three. How many people do none of these?

In the survey from question 11, how many people only watch TV?

Express "the set of people who read newspapers but do not watch TV or listen to the radio" in set notation.

In a Venn diagram, P, Q, and R are three sets. If n(P)=25,n(Q)=30,n(R)=20,n(P∩Q)=10,n(Q∩R)=8,n(P∩R)=7,n(P∩Q∩R)=5, find n(P∪Q∪R).

What does the region P∩(Q∪R)′ represent in a Venn diagram?