Question 1

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

Accepted Answer

A) {d,c,g,i,m,w} 
B) {d,c,g,i,q,m,w} 
C) {q} 
D) {c,g} 
A) {d,c,g,i,m,w} 
B) {d,c,g,i,q,m,w} 
C) {q} 
D) {c,g} A

Question 2

Provide an appropriate response.
-Suppose there are 4 trains connecting town X to town Y and 6 roads connecting town Y to town Z.In how many ways can a person travel from X to Z via Y?

Accepted Answer

A) 10 
B) 16 
C) 12 
D) 24 
E) 36 
A) 10 
B) 16 
C) 12 
D) 24 
E) 36 D

Question 3

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 neither biology nor history?

Accepted Answer

A) 8 
B) 5 
C) 11 
D) 22 
A) 8 
B) 5 
C) 11 
D) 22 C

Question 4

Use a Venn Diagram and the given information to determine the number of elements in the indicated region.
-At Southern States University (SSU)there are 399 students taking Finite Mathematics or Statistics.238 are taking Finite Mathematics,184 are taking Statistics,and 23 are taking both Finite Mathematics and Statistics.How many are taking Finite Mathematics but not Statistics?

Accepted Answer

A) 192 
B) 215 
C) 376 
D) 161 
A) 192 
B) 215 
C) 376 
D) 161

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

Tell whether the statement is true or false.
-7 ∉ {14,21,28,35,42}

Accepted Answer

A) True 
 B)False

Question 7

Use a Venn Diagram and the given information to determine the number of elements in the indicated region.
-At Southern States University SSU)there are 719 students taking Finite Mathematics or Statistics.328 are taking Finite Mathematics,476 are taking Statistics,and 85 are taking both Finite Mathematics and Statistics.How many are taking Statistics but not Finite Mathematics?

Accepted Answer

A) 243 
B) 391 
C) 158 
D) 634 
A) 243 
B) 391 
C) 158 
D) 634

Question 8

Use the Venn diagram below to find the number of elements in the region.  
-n(A)

Accepted Answer

A) 9 
B) 12 
C) 4 
D) 17 
A) 9 
B) 12 
C) 4 
D) 17

Question 9

Solve the problem.
-In a Power Ball lottery,5 numbers between 1 and 12 inclusive are drawn.These are the winning numbers.How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

Accepted Answer

A) 248,832 
B) 792 
C) 95,040 
D) 120 
A) 248,832 
B) 792 
C) 95,040 
D) 120

Question 10

Provide an appropriate response.
-How many different sequences of 4 digits are possible if the first digit must be 3,4,or 5 and if the sequence may not end in 000? Repetition of digits is allowed.

Accepted Answer

A) 5000 
B) 2999 
C) 1512 
D) 2997 
E) 2000 
A) 5000 
B) 2999 
C) 1512 
D) 2997 
E) 2000

Question 11

Provide an appropriate response.
-License plates are made using 3 letters followed by 3 digits.How many plates can be made if repetition of letters and digits is allowed?

Accepted Answer

A) 308,915,776 
B) 1,757,600 
C) 1,000,000 
D) 175,760 
E) 17,576,000 
A) 308,915,776 
B) 1,757,600 
C) 1,000,000 
D) 175,760 
E) 17,576,000

Question 12

Construct a truth table to decide if the two statements are equivalent.
-~p K~q; ~(p Vq)

Accepted Answer

A) True 
 B)False

Question 13

Use the Venn diagram below to find the number of elements in the region.  
-n(C' )

Accepted Answer

A) 29 
B) 14 
C) 24 
D) 39 
A) 29 
B) 14 
C) 24 
D) 39

Question 14

In a marketing survey involving 1,000 randomly chosen people,it is found that 660 use brand P,440 use brand
Q,and 220 use both brands.How many people in the survey use brand P and not brand Q?

Accepted Answer

The answer of In a marketing survey involving 1,000 randomly...

Question 15

Provide an appropriate response.
-One of the following is false; indicate by letter which one:

Accepted Answer

A) {4} ⊂ {3,4,5,6} 
B) 4 ∈{3,4,5,6} 
C) 4 ⊂ {3,4,5,6} 
D) 5 ∈ {3,4,5,6} 
A) {4} ⊂ {3,4,5,6} 
B) 4 ∈{3,4,5,6} 
C) 4 ⊂ {3,4,5,6} 
D) 5 ∈ {3,4,5,6}

Question 16

Solve the problem.
-A home cooking equipment supply company employs 7 sales representatives and 6 product designers.How many ways can this company select 4 of these employees to send to a product demonstration convention in Oahu if at least 3 product designers must attend?

Accepted Answer

A) 168 
B) 42 
C) 155 
D) 504 
A) 168 
B) 42 
C) 155 
D) 504

Question 17

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement
is true or false.
-{5} ⊆ D

Accepted Answer

A) True 
 B)False

Question 18

Determine whether the selection is a permutation, a combination, or neither.
-Mary baked 3 pies: 1 for her father,1 for her friend Joe,and 1 for her coworkers.

Accepted Answer

A) neither 
B) combination 
C) permutation 
A) neither 
B) combination 
C) permutation

Question 19

A person purchasing a new car has several options: 6 interior color choices,5 exterior color choices,2 choices of radios,and 5 choices of body styles.How many different cars are possible if one choice is made for each option?

Accepted Answer

The answer of A person purchasing a new car has...

Question 20

Evaluate.
-C7,0

Accepted Answer

A) 7 
B) 6 
C) 1 
D) 720 
A) 7 
B) 6 
C) 1 
D) 720

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

Provide an appropriate response. -Suppose there are 4 trains connecting town X to town Y and 6 roads connecting town Y to town Z.In how many ways can a person travel from X to Z via Y?

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 neither biology nor history?

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

Tell whether the statement is true or false. -7 ∉ {14,21,28,35,42}

Use the Venn diagram below to find the number of elements in the region. -n(A)

Solve the problem. -In a Power Ball lottery,5 numbers between 1 and 12 inclusive are drawn.These are the winning numbers.How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

Provide an appropriate response. -How many different sequences of 4 digits are possible if the first digit must be 3,4,or 5 and if the sequence may not end in 000? Repetition of digits is allowed.

Provide an appropriate response. -License plates are made using 3 letters followed by 3 digits.How many plates can be made if repetition of letters and digits is allowed?

Construct a truth table to decide if the two statements are equivalent. -~p K~q; ~(p Vq)

Use the Venn diagram below to find the number of elements in the region. -n(C' )

In a marketing survey involving 1,000 randomly chosen people,it is found that 660 use brand P,440 use brand Q,and 220 use both brands.How many people in the survey use brand P and not brand Q?

Provide an appropriate response. -One of the following is false; indicate by letter which one:

Solve the problem. -A home cooking equipment supply company employs 7 sales representatives and 6 product designers.How many ways can this company select 4 of these employees to send to a product demonstration convention in Oahu if at least 3 product designers must attend?

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement is true or false. -{5} ⊆ D

Determine whether the selection is a permutation, a combination, or neither. -Mary baked 3 pies: 1 for her father,1 for her friend Joe,and 1 for her coworkers.

A person purchasing a new car has several options: 6 interior color choices,5 exterior color choices,2 choices of radios,and 5 choices of body styles.How many different cars are possible if one choice is made for each option?

Evaluate. -C7,0

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. -Suppose there are 4 trains connecting town X to town Y and 6 roads connecting town Y to town Z.In how many ways can a person travel from X to Z via Y?

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 neither biology nor history?

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

Tell whether the statement is true or false. -7 ∉ {14,21,28,35,42}

Use the Venn diagram below to find the number of elements in the region. -n(A)

Solve the problem. -In a Power Ball lottery,5 numbers between 1 and 12 inclusive are drawn.These are the winning numbers.How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

Provide an appropriate response. -How many different sequences of 4 digits are possible if the first digit must be 3,4,or 5 and if the sequence may not end in 000? Repetition of digits is allowed.

Provide an appropriate response. -License plates are made using 3 letters followed by 3 digits.How many plates can be made if repetition of letters and digits is allowed?

Construct a truth table to decide if the two statements are equivalent. -~p K~q; ~(p Vq)

Use the Venn diagram below to find the number of elements in the region. -n(C' )

In a marketing survey involving 1,000 randomly chosen people,it is found that 660 use brand P,440 use brand Q,and 220 use both brands.How many people in the survey use brand P and not brand Q?

Provide an appropriate response. -One of the following is false; indicate by letter which one:

Solve the problem. -A home cooking equipment supply company employs 7 sales representatives and 6 product designers.How many ways can this company select 4 of these employees to send to a product demonstration convention in Oahu if at least 3 product designers must attend?

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement is true or false. -{5} ⊆ D

Determine whether the selection is a permutation, a combination, or neither. -Mary baked 3 pies: 1 for her father,1 for her friend Joe,and 1 for her coworkers.

A person purchasing a new car has several options: 6 interior color choices,5 exterior color choices,2 choices of radios,and 5 choices of body styles.How many different cars are possible if one choice is made for each option?

Evaluate. -C7,0

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Probability

Markov Chains

Limits and the Derivative

Mathematical Functions and Limits

Filters