Question 1

Solve the problem.
-An exam consists of 9 multiple-choice questions and 6 essay questions. If the student must answer 6 of the multiple-choice questions and 4 of the essay questions, in how many ways can the questions be chosen?

Accepted Answer

A)  1296 
B)  1260 
C)  21,772,800 
D)  261,273,600

Question 2

Solve the problem.
-How many different license plates can be made using 3 letters followed by 2 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?

Accepted Answer

A)  1,404,000 
B)  117,000 
C)  1,757,600 
D)  1,123,200

Question 3

Use the information given in the figure.
-
 How many are in B or C?

Accepted Answer

A)  48 
B)  52 
C)  5 
D)  54

Question 4

Solve the problem.
-A restaurant offers a choice of 4 salads, 7 main courses, and 4 desserts. How many possible 3-course meals are there?

Accepted Answer

A)  15 possible meals 
B)  224 possible meals 
C)  112 possible meals 
D)  28 possible meals

Question 5

Solve the problem.
-A survey of 2024 credit card users indicated that 827 had bought books online, 938 had bought music online, 448 had bought pet supplies online, 93 had bought both books and music, 193 had bought both books and pet
Supplies, 112 had bought both music and pet supplies, and 56 had bought all three. How many credit card users
Did not buy any of the three? How many bought either books or pet supplies but not music?

Accepted Answer

A)  153; 796 
B)  153; 933 
C)  209; 796 
D)  153; 852

Exam 8: Counting and Probability

Solve the problem. -An exam consists of 9 multiple-choice questions and 6 essay questions. If the student must answer 6 of the multiple-choice questions and 4 of the essay questions, in how many ways can the questions be chosen?

Solve the problem. -How many different license plates can be made using 3 letters followed by 2 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?

Use the information given in the figure. - How many are in B or C?

Solve the problem. -A restaurant offers a choice of 4 salads, 7 main courses, and 4 desserts. How many possible 3-course meals are there?