Question 1

Which of the following is not true of the symbol $\left(\begin{array}{c}11 \ 3\end{array}\right)$ ?

Accepted Answer

A)  It is used when order does not matter. 
B)  Its value is less than $11 P_{3}$. 
C)  It is the number of 3 letter words that can be formed from 11 letters. 
D)  It is the number of 3 person committees that can be formed from a group of 11 people.

Question 2

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that:
-the defective item is not included?

Accepted Answer

The answer of A shipment of 12 television sets contains...

Question 3

In the past eight Friday nights, a student has gone to the same rock music club on five occasions. The claim that the probability is $\frac{5}{8}$ that the student will attend the same club next Friday is based on

Accepted Answer

A)  the classical probability concept. 
B)  the frequency interpretation of probability. 
C)  the law of large numbers. 
D)  subjective probability.

Question 4

The number of five-player basketball teams that can be formed from a group of 11 players is _______.

Accepted Answer

The answer of The number of five-player basketball teams that...

Question 5

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if:
-all the males are to sit together and all of the females are to sit together?

Accepted Answer

The answer of Two families, each consisting of a husband,...

Question 6

After two vice presidents are selected from 9 division managers, 3 other promotions will be granted. From the remaining division managers, how many ways can the new promotions be granted?

Accepted Answer

The answer of After two vice presidents are selected from...

Question 7

A balanced die is rolled. Find the probability of getting:
-an odd number.

Accepted Answer

The answer of A balanced die is rolled. Find the...

Question 8

Two vice presidents are to be selected from the division managers in a certain company. If there are 9 division managers, in how many ways can the vice presidents be selected?

Accepted Answer

The answer of Two vice presidents are to be selected...

Question 9

A magazine reader wants to subscribe to three magazines from a choice of eight magazines. The number of ways this can be done is $\frac{8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{3 \cdot 2 \cdot 1}$

Accepted Answer

A) True 
 B)False

Question 10

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that:
-the defective item is included?

Accepted Answer

The answer of A shipment of 12 television sets contains...

Question 11

A restaurant menu has eight main courses, five appetizers, six desserts, and four beverages. The number of ways that a patron can select a meal with one appetizer, one main course, one dessert, and one beverage is _______.

Accepted Answer

The answer of A restaurant menu has eight main courses,...

Question 12

The expression 7 ! 3 ! is equal to 10 !.

Accepted Answer

A) True 
 B)False

Question 13

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that:
-exactly two of the returns with errors are audited?

Accepted Answer

The answer of If 3 of 16 tax returns contain...

Question 14

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that:
-none of the returns with errors is audited?

Accepted Answer

The answer of If 3 of 16 tax returns contain...

Question 15

A group of investors wants to hire a team of 4 accountants and 2 financial planners. If the investors are considering 8 accountants and 5 financial planners:}
-how many six-person teams can be hired if no attention is paid to profession?

Accepted Answer

The answer of A group of investors wants to hire...

Question 16

A cable TV company has 10 channel offerings. One option is that a subscriber may select any four channels. In how many ways can a subscriber make his/her selection?

Accepted Answer

The answer of A cable TV company has 10 channel...

Question 17

The probability of selecting a defective component from 20 components, 3 of which are defective, is $\frac{3}{20}$. This is an example of

Accepted Answer

A)  the classical probability concept. 
B)  the frequency interpretation of probability. 
C)  the law of large numbers. 
D)  subjective probability.

Question 18

Two restaurants are to be built at locations selected from a choice of 11 locations. The number of ways selecting the locations for the two restaurants is

Accepted Answer

A)  $\frac{11 !}{2}$ 
B)  $11 \cdot 11$ 
C)  $\frac{11 \cdot 10}{2}$ 
D)  $11 \cdot 10$

Question 19

The value ${ }_{7} P_{3}$ is _______.

Accepted Answer

The answer of The value ${ }_{7} P_{3}$ is _______....

Question 20

I have 11 shirts, but only four hangers. In how many ways can I choose four of the shirts to hang in which the arrangement of the shirts in my closet makes a difference to me?

Accepted Answer

The answer of I have 11 shirts, but only four...

Exam 5: Possibilities and Probabilities

Which of the following is not true of the symbol $\left(\begin{array}{c}11 \\ 3\end{array}\right)$ ?

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that: -the defective item is not included?

In the past eight Friday nights, a student has gone to the same rock music club on five occasions. The claim that the probability is $\frac{5}{8}$ that the student will attend the same club next Friday is based on

The number of five-player basketball teams that can be formed from a group of 11 players is _______.

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if: -all the males are to sit together and all of the females are to sit together?

After two vice presidents are selected from 9 division managers, 3 other promotions will be granted. From the remaining division managers, how many ways can the new promotions be granted?

A balanced die is rolled. Find the probability of getting: -an odd number.

Two vice presidents are to be selected from the division managers in a certain company. If there are 9 division managers, in how many ways can the vice presidents be selected?

A magazine reader wants to subscribe to three magazines from a choice of eight magazines. The number of ways this can be done is $\frac{8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{3 \cdot 2 \cdot 1}$

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that: -the defective item is included?

A restaurant menu has eight main courses, five appetizers, six desserts, and four beverages. The number of ways that a patron can select a meal with one appetizer, one main course, one dessert, and one beverage is _______.

The expression 7 ! 3 ! is equal to 10 !.

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that: -exactly two of the returns with errors are audited?

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that: -none of the returns with errors is audited?

A group of investors wants to hire a team of 4 accountants and 2 financial planners. If the investors are considering 8 accountants and 5 financial planners:} -how many six-person teams can be hired if no attention is paid to profession?

A cable TV company has 10 channel offerings. One option is that a subscriber may select any four channels. In how many ways can a subscriber make his/her selection?

The probability of selecting a defective component from 20 components, 3 of which are defective, is $\frac{3}{20}$ . This is an example of

Two restaurants are to be built at locations selected from a choice of 11 locations. The number of ways selecting the locations for the two restaurants is

The value ${ }_{7} P_{3}$ is _______.

I have 11 shirts, but only four hangers. In how many ways can I choose four of the shirts to hang in which the arrangement of the shirts in my closet makes a difference to me?

Exam 5: Possibilities and Probabilities

Which of the following is not true of the symbol (113) \left(\begin{array}{c}11 \\ 3\end{array}\right) (113​) ?

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that: -the defective item is not included?

In the past eight Friday nights, a student has gone to the same rock music club on five occasions. The claim that the probability is 58\frac{5}{8}85​ that the student will attend the same club next Friday is based on

The number of five-player basketball teams that can be formed from a group of 11 players is _______.

Two families, each consisting of a husband, a wife, two sons, and one daughter, are planning to see a movie together and sit together in the same row. In how many ways can they be seated if: -all the males are to sit together and all of the females are to sit together?

After two vice presidents are selected from 9 division managers, 3 other promotions will be granted. From the remaining division managers, how many ways can the new promotions be granted?

A balanced die is rolled. Find the probability of getting: -an odd number.

Two vice presidents are to be selected from the division managers in a certain company. If there are 9 division managers, in how many ways can the vice presidents be selected?

A magazine reader wants to subscribe to three magazines from a choice of eight magazines. The number of ways this can be done is 8⋅7⋅6⋅5⋅4⋅3⋅2⋅13⋅2⋅1\frac{8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{3 \cdot 2 \cdot 1}3⋅2⋅18⋅7⋅6⋅5⋅4⋅3⋅2⋅1​

A shipment of 12 television sets contains one that is damaged. In how many ways can an inspector choose 3 of the televisions to inspect so that: -the defective item is included?

A restaurant menu has eight main courses, five appetizers, six desserts, and four beverages. The number of ways that a patron can select a meal with one appetizer, one main course, one dessert, and one beverage is _______.

The expression 7 ! 3 ! is equal to 10 !.

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that: -exactly two of the returns with errors are audited?

If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that: -none of the returns with errors is audited?

A group of investors wants to hire a team of 4 accountants and 2 financial planners. If the investors are considering 8 accountants and 5 financial planners:} -how many six-person teams can be hired if no attention is paid to profession?

A cable TV company has 10 channel offerings. One option is that a subscriber may select any four channels. In how many ways can a subscriber make his/her selection?

The probability of selecting a defective component from 20 components, 3 of which are defective, is 320\frac{3}{20}203​ . This is an example of

Two restaurants are to be built at locations selected from a choice of 11 locations. The number of ways selecting the locations for the two restaurants is

The value 7P3{ }_{7} P_{3}7​P3​ is _______.

I have 11 shirts, but only four hangers. In how many ways can I choose four of the shirts to hang in which the arrangement of the shirts in my closet makes a difference to me?

Which of the following is not true of the symbol $\left(\begin{array}{c}11 \\ 3\end{array}\right)$ ?

In the past eight Friday nights, a student has gone to the same rock music club on five occasions. The claim that the probability is $\frac{5}{8}$ that the student will attend the same club next Friday is based on

A magazine reader wants to subscribe to three magazines from a choice of eight magazines. The number of ways this can be done is $\frac{8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{3 \cdot 2 \cdot 1}$

The probability of selecting a defective component from 20 components, 3 of which are defective, is $\frac{3}{20}$ . This is an example of

The value ${ }_{7} P_{3}$ is _______.