16. A teacher will ask the first student that arrives to class to hand out papers, the second student to take attendance, and the last student to collect homework. If there are 16 students in the class, how many different ways can these class roles be assigned?

Q: 3. They planned to make a chicken vegetable salad; thus, they bought carrots, potatoes, lettuce,…

A: The ingredients bought are: carrots, potatoes, lettuce, cabbage, pineapple quail eggs and chicken.…

Q: Suppose you are taking a bus trip from your home in Florida to California. There are seven different…

A: Given that we are taking a bus trip from your home in Florida to California. There are seven…

Q: In how many ways can you send a message to your 8 teachers informing them that you have submitted…

A: Query- In how many ways can you send a message to your 8 teachers informing them that you have…

Q: The average age of the members of a country club is 54 years old. If there are ten 36-year-olds,…

A: Let the age of 20 other members be x years. Now  Age of 10 members=36 Age of 50 members =60 Total…

Q: There are 5 different roads from City A to City B, 2 different roads from City B to City C and 3…

A: Permutation and combination are one of the important concepts of probability. In permutation and…

Q: Suppose that you have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

A: Given that, You have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

Q: 4-person grievance committee is to be selected out of 2 departments, A and B, with 15 and 25 people.…

A:

Q: c) There are 18 boys and 13 girls in an English class. During class, there is time for 6 students to…

A:

Q: (b) Every student in a discrete math class is either a computer science or a mathematics major or is…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The…

A: As per guideline expert have to answer first question only dear student please upload other question…

Q: 1. He will repair 2 broken cars in a week 2. Out of 26 pending cars, he will fix more than 50% in a…

A:

Q: A troupe of  12  dancers is going to line up on stage. Of these dancers,  6  are wearing black and…

A: By using the knowledge of permutations we can solve the problem.

Q: Suppose there are 120 students in a veterinary school. There are 49 students that have a dog, 56…

A:

Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

Q: 1. If there are two ways to go to Pampanga from Manila and three ways to go to Bataan from Pampanga…

A: Manila to Pampanga : 2 ways Pampanga to Bataan : 3 ways From Batana to La Union : 5 ways     in how…

Q: 1. The manager of the Yankees has to choose 28 players for an upcoming game agai the Phillies. On…

A: a) Here he selects as a group, so the arrangement is not required. So we will use the combination…

Q: 8) A company wants to hire a software engineer, an administrative assistant, and a sales…

A: 8) Given data A company wants to hire a software engineer, an administrative assistant and a sales…

Q: 7. There are 5 doors to the lecture room; the number of ways in which a student can enter and leave…

A: (As per bartleby guideline, For more than one question asked, only one will be solved, Please upload…

Q: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

Q: 2.6. Assume you are picking a number of players to start in a baseball game. You can have up to 15…

A: Given that, The number of starting players is 15. The number of players who cannot play is 10. The…

Q: 6-a-in how many ways may can five persons line up to get a bus ? B-in how many ways may these same…

A: b)

Q: A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to…

A: a) There are total 17 members  We can pick 9 from 17 members in 17C9=24310 ways  Answer(a): 24310

Q: 5. From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, if six-digit numbers are to be formed and…

A: 5) Total number of digits to be used 8 Unit digit can hold any of the 4-digits; 3,5,7,or 9 for an…

Q: On my bookshelf I have 5 books of poetry, 15 graphic novels, 8 biographies and 3 self-help books. I…

A: Solution :-

Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

A:

Q: here are  14  European cities that Keiko would eventually like to visit. On her next vacation,…

A: Given data There are 14 European cities that Keiko would eventually like to visit. on her next…

Q: 3. There are 5 doors in a Lecture Hall. In how many ways a student can enter the room through one…

A: Total number of doors in the lecture hall=5

Q: 2)A class contains 18 girls and 14 boys. For all parts of this question, each boy and girl are…

A: Respected student, By policy of Bartleby we are solving your first 3 parts, Please repost other…

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A:

Q: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their…

A: Given that  Number of people on its roster (n) =  15 Number of left handers = 5 Number of right…

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: Five persons, A,B,C,D, and E, are going to speak at a meeting. a.) In how many orders can they take…

A: Given data: Total persons = 5 ( A , B , C, D, E ) To find; a.) In how many orders can they take…

Q: 3. Nine friends consisting of seven girls and two boys bought a ticket for a theater. In how many…

A: Given that, Nine friends consisting of 7 girls and 2 boys bought tickets for a theater. We need to…

Q: In a linguistics program there are 61 students.  Of these students, 30 of the students speak…

A: Let us say that,

Q: suppose that ten service customers need service call and the maintenance worker can only service…

A: Consider the given information. Total Number of service customers = 10 Number of services done each…

Q: 10. Five Filipino, four Canadians, and four Brazilians are to sit at a circular table. In how many…

A:

Q: 2. A certain ice cream store has 31 flavours of ice cream available. In how many ways can we order a…

A: Given,store has 31 flavours of ice creamand we are buying 12 ice cream.

Q: 16 members is to choose three officers:

A: Given that  A club with 16 members  (n) = 16 we have to choose three officers: President, vice…

Q: A new vaccine is being tested on a group of 4000 people by giving 2500 people the vaccine and the…

A: there are total of 4000 people. Out of which 2500 are to be given a vaccine. (a) out of 4000 people…

Q: c) There are three train tracks from village X to village Y and four train tracks from village Y to…

A:

Q: 4. A three-member panel of judges are to be chosen from 5 men and 3 women. In how many ways can this…

A:

Q: suppose that five service customers need service call and the maintenance worker can only service…

A:

Q: You want to buy five bottles of soda in order to cater a small get-together at your place. You run…

A: Given that the corner store which has been pillaged by hoarders anticipating a wicked nor'easter,…

Q: company’s CEO has 8 people reporting directly to her, and she wants to select 2 to attend the grand…

A:

Q: If dining time is 60 minutes, the lounge seats 48, and there are 180 dining-room seats, then the…

A: The second option is the correct choice. Use the queuing model to find the turning time for every…

Q: A club with sixteen members is to choose three officers: president, vice-president, and secretary…

A: Given: Number of members = 16 Number of officer has to choose = 3 (president, vice-president, and…

Q: ssume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select…

A: Given that  Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will…

Q: 2) Phone numbers consist of a three-digit area code followed by seven digits. If the area code must…

A: Given information- We have given that a phone number consist of a three-digit area code followed by…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.