Question 1

Use the Venn diagram to find the requested set.
-Find A' ⋂ B'.

Accepted Answer

A) {8,3,4,z,r,f} 
B) {4} 
C) {8} 
D) Ø 
A) {8,3,4,z,r,f} 
B) {4} 
C) {8} 
D) Ø

Question 2

Provide an appropriate response.
-A local television station sends out questionnaires to determine if viewers would rather see a documentary,an interview show,or reruns of a game show.There were 500 responses with the following results: 150 were interested in an interview show and a documentary,but not reruns.
20 were interested in an interview show and reruns but not a documentary
70 were interested in reruns but not an interview show.
120 were interested in an interview show but not a documentary.
50 were interested in a documentary and reruns.
30 were interested in an interview show and reruns.
40 were interested in none of the three.
How many are interested in exactly one kind of show?

Accepted Answer

A) 230 
B) 220 
C) 250 
D) 240 
A) 230 
B) 220 
C) 250 
D) 240

Question 3

Provide an appropriate response.
-A restaurant offered pizza with 3 types of crusts and 7 different toppings.How many different types of pizzas could be offered?

Accepted Answer

A) 21 
B) 9 
C) 49 
D) 10 
E) 63 
A) 21 
B) 9 
C) 49 
D) 10 
E) 63

Question 4

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false.
-{3,0,8} ∈ A

Accepted Answer

A) True 
 B)False

Question 5

Provide an appropriate response.
-In a group of 42 students,22 take history,17 take biology and 8 take both history and biology. How many students take biology,but not history?

Accepted Answer

A) 22 
B) 5 
C) 17 
D) 9 
A) 22 
B) 5 
C) 17 
D) 9

Question 6

Use a Venn Diagram and the given information to determine the number of elements in the indicated region.
-n(A) = 33, n(B) = 19, n(A ⋂ B) = 1, n(A' ⋂ B') = 9. Find n(U).

Accepted Answer

A) 60 
B) 64 
C) 51 
D) 52 
A) 60 
B) 64 
C) 51 
D) 52

Question 7

Use the Venn diagram to find the requested set.
-Find A ⋂ B.

Accepted Answer

A) {a,b,g,j,q,n,w} 
B) {a,b,g,j,n,w} 
C) {b,g} 
D) {q} 
A) {a,b,g,j,q,n,w} 
B) {a,b,g,j,n,w} 
C) {b,g} 
D) {q}

Question 8

A coin that can turn up either heads (H)or tails (T)is flipped.If a head turns up on the first toss,a spinner that can land on any of the first 7 natural numbers is spun.If a tail turns up,the coin is flipped a second time.What are the different possible outcomes?

Accepted Answer

{(H,1),(H,2),(H,3),(

Question 9

Solve the problem.
-How many ways can a committee of 3 be selected from a club with 12 members?

Accepted Answer

A) 1320 
B) 110 
C) 220 
D) 6 
A) 1320 
B) 110 
C) 220 
D) 6

Question 10

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let
A = {n ∈N| n > 50}
B = {n ∈N| n < 250}
O = {n ∈N| n is odd}
E = {n ∈N| n is even}
-B ⋃ E

Accepted Answer

A) infinite 
B) finite 
A) infinite 
B) finite

Use the Venn diagram to find the requested set. -Find A' ⋂ B'.

Provide an appropriate response. -A restaurant offered pizza with 3 types of crusts and 7 different toppings.How many different types of pizzas could be offered?

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false. -{3,0,8} ∈ A

Provide an appropriate response. -In a group of 42 students,22 take history,17 take biology and 8 take both history and biology. How many students take biology,but not history?

Use a Venn Diagram and the given information to determine the number of elements in the indicated region. -n(A) = 33, n(B) = 19, n(A ⋂ B) = 1, n(A' ⋂ B') = 9. Find n(U).

Use the Venn diagram to find the requested set. -Find A ⋂ B.

A coin that can turn up either heads (H)or tails (T)is flipped.If a head turns up on the first toss,a spinner that can land on any of the first 7 natural numbers is spun.If a tail turns up,the coin is flipped a second time.What are the different possible outcomes?

Solve the problem. -How many ways can a committee of 3 be selected from a club with 12 members?

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let A = {n ∈N| n > 50} B = {n ∈N| n < 250} O = {n ∈N| n is odd} E = {n ∈N| n is even} -B ⋃ E

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Probability

Markov Chains

Limits and the Derivative

Mathematical Functions and Limits

Filters

Exam 7: Logic, sets, and Counting

Use the Venn diagram to find the requested set. -Find A' ⋂ B'.

Provide an appropriate response. -A restaurant offered pizza with 3 types of crusts and 7 different toppings.How many different types of pizzas could be offered?

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false. -{3,0,8} ∈ A

Provide an appropriate response. -In a group of 42 students,22 take history,17 take biology and 8 take both history and biology. How many students take biology,but not history?

Use a Venn Diagram and the given information to determine the number of elements in the indicated region. -n(A) = 33, n(B) = 19, n(A ⋂ B) = 1, n(A' ⋂ B') = 9. Find n(U).

Use the Venn diagram to find the requested set. -Find A ⋂ B.

A coin that can turn up either heads (H)or tails (T)is flipped.If a head turns up on the first toss,a spinner that can land on any of the first 7 natural numbers is spun.If a tail turns up,the coin is flipped a second time.What are the different possible outcomes?

Solve the problem. -How many ways can a committee of 3 be selected from a club with 12 members?

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let A = {n ∈N| n > 50} B = {n ∈N| n < 250} O = {n ∈N| n is odd} E = {n ∈N| n is even} -B ⋃ E

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Probability

Markov Chains

Limits and the Derivative

Mathematical Functions and Limits

Filters