Question 1

A manufacturer places a four-symbol code on each unit of a product.The first three symbols are numbers with the first not 0,and the fourth symbol is a letter other than o.How many codes are possible?

Accepted Answer

22,500

Question 2

The value of  is

Accepted Answer

D

Question 3

Determine the value of  
and simplify your answer.

Accepted Answer

60

Question 4

Determine

Accepted Answer

The answer of Determine ...

Question 5

Determine

Accepted Answer

The answer of Determine ...

Question 6

A certain state has license plates that consist of 3 letters followed by 4 numerals.How many different types of license plate can be made?

Accepted Answer

The answer of A certain state has license plates that...

Question 7

Determine the value of  
and simplify your answer.

Accepted Answer

The answer of Determine the value of  
and simplify...

Question 8

A club has ten members.In how many ways can the offices of president,vice president,secretary,and treasurer be filled if no member can serve in two offices?

Accepted Answer

This is a permutation problem because the order in which the members are chosen for the offices matters. The first office can be filled by any of the 10 members, the second by any of the remaining 9, the third by 8, and the fourth by 7. Therefore, the total number of ways is 10 * 9 * 8 * 7 = 5040.

Question 9

From a group of 12 people,in how many ways can the offices of chairperson,secretary,and treasurer be filled by three different people?

Accepted Answer

The answer of From a group of 12 people,in how...

Question 10

A building contractor can order lumber from 5 suppliers,bricks from 4 suppliers,and hardware from 8 suppliers.If the contractor chooses one supplier for each item,how many choices are available for the three items?

Accepted Answer

The number of choices available for the three items is found by multiplying the number of choices for each item: 5 suppliers for lumber * 4 suppliers for bricks * 8 suppliers for hardware = 20 * 8 = 160.

Question 11

In how many ways is it possible to answer a five-question multiple-choice examination if each question has three choices and exactly one choice is selected for each question?

Accepted Answer

The answer of In how many ways is it possible...

Question 12

The number of ways in which a student can answer an eight-question true-false examination is

Accepted Answer

For each of the eight questions, there are 2 possible true/false answers. Therefore, the total number of ways to answer all eight questions is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256. Therefore, the answer is D.

Question 13

At a restaurant a complete dinner consists of a salad,an entree,a dessert,and a beverage.For the salad,the choices are tossed green salad,gelatin salad,or cottage cheese; for the entree,the choices are chicken,roast beef,or flounder; for the dessert,the choices are pudding,pie,cake,or ice cream; for the beverage,the choices are coffee,tea,or milk.How many complete dinners are possible?

Accepted Answer

The answer of At a restaurant a complete dinner consists...

Question 14

A college mathematics club of 30 students needs to elect new officers.If there are 3 positions available and no one can serve in more than one position,how many different slates of candidates are possible?

Accepted Answer

The answer of A college mathematics club of 30 students...

Question 15

A math instructor has twelve students in his class.It so happens that he has exactly 12 desks in his classroom.How many ways can the 12 students be arranged in the 12 desks?

Accepted Answer

The answer of A math instructor has twelve students in...

Question 16

In how many ways can a basketball coach assign the five different positions to her eight-member team if all members are equally qualified at all positions?

Accepted Answer

The answer of In how many ways can a basketball...

Question 17

In how many ways is it possible to answer a six-question true-false examination.

Accepted Answer

The answer of In how many ways is it possible...

Question 18

Five different books are to be arranged horizontally on a bookshelf.(a)In how many ways can this be done? (b)If two are mathematics books and three are accounting books,in how many ways can all the books be arranged if the first two books are to be in mathematics?

Accepted Answer

The answer of Five different books are to be arranged...

Question 19

If a basketball league has five teams,how many different end-of-the-season rankings are possible? Assume that there are no ties.

Accepted Answer

The answer of If a basketball league has five teams,how...

Question 20

In a certain state,all drivers are given a driver's license code consisting of 2 letters followed by 6 numerals.How many different drivers license codes are possible?

Accepted Answer

The answer of In a certain state,all drivers are given...

Quiz 9: Introduction to Probability and Statistics

A manufacturer places a four-symbol code on each unit of a product.The first three symbols are numbers with the first not 0,and the fourth symbol is a letter other than o.How many codes are possible?

The value of is

Determine the value of and simplify your answer.

Determine

Determine

A certain state has license plates that consist of 3 letters followed by 4 numerals.How many different types of license plate can be made?

Determine the value of and simplify your answer.

A club has ten members.In how many ways can the offices of president,vice president,secretary,and treasurer be filled if no member can serve in two offices?

From a group of 12 people,in how many ways can the offices of chairperson,secretary,and treasurer be filled by three different people?

A building contractor can order lumber from 5 suppliers,bricks from 4 suppliers,and hardware from 8 suppliers.If the contractor chooses one supplier for each item,how many choices are available for the three items?

In how many ways is it possible to answer a five-question multiple-choice examination if each question has three choices and exactly one choice is selected for each question?

The number of ways in which a student can answer an eight-question true-false examination is

A college mathematics club of 30 students needs to elect new officers.If there are 3 positions available and no one can serve in more than one position,how many different slates of candidates are possible?

A math instructor has twelve students in his class.It so happens that he has exactly 12 desks in his classroom.How many ways can the 12 students be arranged in the 12 desks?

In how many ways can a basketball coach assign the five different positions to her eight-member team if all members are equally qualified at all positions?

In how many ways is it possible to answer a six-question true-false examination.

Five different books are to be arranged horizontally on a bookshelf.(a)In how many ways can this be done? (b)If two are mathematics books and three are accounting books,in how many ways can all the books be arranged if the first two books are to be in mathematics?

If a basketball league has five teams,how many different end-of-the-season rankings are possible? Assume that there are no ties.

In a certain state,all drivers are given a driver's license code consisting of 2 letters followed by 6 numerals.How many different drivers license codes are possible?