Arestaurant offers a $12 dinner special that has 5 choices for an appetizer, 11 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert? A meal can be chosen in (Type a whole number.) ways.

Q: A local T-shirt company has 20 slogans for the front of the shirt, 50 colors of shirts, 15 logos for…

A:

Q: In how many ways can 3 red cards be drawn from a standard deck of 52 cards

A: The total number of cards in a deck of cards is 52.

Q: In how many ways can 10 people be seated on a bench if only 4 seats are available?

A: Given problem Given that   In how many ways can 10 people be seated on a bench if only 4 seats are…

Q: A student has five mathematics books four history books, and eight fiction books. In how many diff…

A: Given that A student has five mathematics books four history books, and eight fiction books

Q: How many ways can 5 bicycles be parked if there are 9 available parking spaces?

A: Number of ways in which 5 bicycles can be parked if there are 9 available parking spaces.

Q: You would like to "build-your-own-burger" at a fast-food restaurant. There are five different…

A: Given : Types of Bread = 5 Types of cheese = 7 Types of cold toppings = 4 Types of sauces = 5

Q: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards out of…

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: How many different ways are there to order a three-flavor hot fudge sundae, given that there are…

A:

Q: In how many ways can you choose 5 out of 11 people for a game of basketball?

A: In how many ways can you choose 5 out of 11 people for a game of basketball. Here i attached…

Q: In how many ways can 5 people be seated on a sofa, if there are only 3 seats available? * In how…

A:

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: In how many ways can you choose 3 gifts from a bag containing 4 different gifts?

A: It ia given that Total gifts n  = 4 Selected gifts r = 3

Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

A: The number of ways r items can be selected from n different items is equal to C(n,r) . The formula…

Q: Suppose we want to choose 5 letters, without replacement, from 18 distinct letters. (a) How many…

A: (a)   Determine the number of ways that the 5 letters can be selected from 18 distinct letters…

Q: In how many different ways can eight people be seated in a row?

A: Different ways that eight people can sit in a row.

Q: Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. (a) How…

A:

Q: b) A catering service offers 7 appetizers, 9 main courses, and 8 desserts. A banquet committee…

A: Given : 7 appetizers, 9 main courses, and 8 desserts.

Q: (a) How many ways can a student choose eight out of ten questions to answer on an exam? (b) How many…

A: (a) total number of question=10 to find number of ways can a student choose eight out of ten  we…

Q: 18. A woman has 10 close friends. Find the number of ways in which she can invite 4 of them to…

A: Given data: The total numbers of friends are n=10. The numbers of friend invite to dinner are r=4.…

Q: In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to…

A: We have given that,  In how many ways can 8 person be seated around a table with 8 chairs if two…

Q: In how many ways can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: (A) How many ways can a 3-person subcommittee be selected from a committee of 9 people? (B) How many…

A:

Q: A bag contains 11 pieces of candy. In how many ways can four pieces be selected? way(s)

A: To find: The number of ways of 4 pieces of be selected.

Q: Seven parking spots in a row are available for a display of new cars at a dealership. If an employee…

A:

Q: In how many ways can 11 people be seated in a row of 11 chairs if Janet insists on sitting in the…

A:

Q: In how many ways can a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: How many ways can a softball coach fill in the first, second, and third names in a batting lineup if…

A:

Q: Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C. (a) How…

A: (a)   Determine the number of ways that the 2 letters can be selected from three letters without…

Q: A essay-writing contest offers a $1000 prize for first place and a $250 prize for second place. If…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: In how many ways can you select three books to read from a shelf of eight books? (Order is…

A: We have find order matter..

Q: A restaurant offers a​ $12 dinner special that has 5choices for an​ appetizer, 13 choices for an​…

A: We have to find nom of combinations possible.

Q: A. How many ways can 7 people line up in a cafeteria line? B. How many ways can five people be…

A:

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: 2. Dylan, Andrew, Hailey, and Jordan ran in a race of 25 people. In how many different orders can…

A: 2. There are 4 people Dylan,Andrew,Hailey and Jordan Here The places are also 4 The race are start…

Q: b) In how many different ways can five friends sit for a photograph of five chairs in a row?

A: Given :              There are five friends sit for a photograph in a row of five chairs.…

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: How many ways can a​ president, ​vice-​president, and secretary be chosen from a club with 11…

A:

Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Q: In how many ways Jane, Liza, Karen, Lea, Jamie, Andrea, Nicole, and Jazz can be seated in a round…

A: There are 8 persons  So total number of ways by which they can sit =8!  8!=8×7×6×5×4×3×2×1 =40320.

Q: 3. Marty is a bookworm and he has various collections of novels, series and other story books. If he…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: At a fine dining restaurant, the "Ultimate Dining Experience" allows the customer to select a glass…

A: There are 5 choices for a glass of wines, 5 choices for appetizers, 3 choices of salads, 9 choices…

Q: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

Q: 3. How many ways can 7 cards be chosen from a standard deck of 52 cards?

A: In the given problem, we have 52 cards. We have to find the number of ways for which we can choose 7…

Q: Ten people wish to play in a basketball game. In how many different ways can two teams of five…

A: To find: How many different ways can two teams of five players each be formed among ten people

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.