A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different heating systems, a garage or carport, and a patio or screened porch. How many different, plans are available to this buyer? Your answer

Q: There are eight performers who will present their comedy acts this weekend at a comedy club. How…

A: Arranging n items is found by n! ways...

Q: You and 19 of your friends have decided to form an Internet marketing consulting firm. The group…

A: There are a total of 20 people. So we need to choose a CEO, an operating manager, and a treasurer…

Q: When ordering a certain type of computer, there are three choices of hard drive, four choices for…

A: when ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the…

Q: There are 4 oranges, 5 apples and 6 mangoes in a basket. In how many ways can a person make a…

A:

Q: A bride is choosing a dress for her bridesmaids. If there are 2 styles, 5 colors, and 3 fabrics, in…

A: Given that  A bride is choosing a dress for her bridesmaids. Number of styles = 2 Number of colors =…

Q: A scholar is choosing six books to take on vacation from a stack of 34. A. How many different…

A: Solution

Q: A car dealership offers 10 different upgrades with each of the vehicles it sells. If a customer can…

A: Given data; A car dealership offers 10 different upgrades with each of the vehicles it sells.  To…

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

A:

Q: A pizza parlor offers a choice of 16 different toppings. How many 3-topping pizzas are possible?

A:

Q: A woman has ten skirts and five blouses. Assuming that they all match, how many different…

A:

Q: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

A:

Q: A boy owns 5 pairs of pants, 8 shirts, 7 ties, and 2 jackets. How many different outfits can he wear…

A:

Q: A developer of a new subdivision wants to build homes that are all different. There are five…

A: Given, no.of interior plans=5no.of exteriors plans=7

Q: There are four performers

A: number of performer = 4 so if n performer is their then number of arrangements are n! n! =…

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A:

Q: There are 18 students in a kindergarten class. If each kindergartner can have only one task, in how…

A:

Q: How many different arrangements can be made using all the letters in VANCOUVER?

A: There are total 9 letters in the word VANCOUVER. Letter Frequency V 2 A 1 N 1 C 1 O 1…

Q: There are 6 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that there are 8 women and 6 men

Q: Radio stations that are on the east side of a nation have call letters consisting of a W followed by…

A:

Q: A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different…

A: Let, N be the number of different available plansFirst operation (choice of home design) can be…

Q: Out of 5 mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3…

A:

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: Of 18 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6…

A: Given, Total  number of books = 18

Q: A restart offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entree,…

A: We have given that for dinner special the number of choices for appetizer 5, for entree 12 and for…

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 5 colors, and 4 fabrics, in…

A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…

Q: A pizza restaurant offers the following toppings: onions, peppers, mushrooms, ham, anchovies,…

A: Number of arrangement of data can be studied using two methods. They are permutation and…

Q: A southeast regional salesman has eight destinations that he must travel to this month:Atlanta,…

A: Given salesman has 8 destinations. Therefore different possible routes are 8! ways = 40320 ways.

Q: a restauranr offers 4 different flavors of coffee,3 different soup selections and 4 different…

A:

Q: There are 5 men and 7 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that : There are 5 men and  7 women auditioning to be in the school play.  Total cast  = 5+7 =…

Q: A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: If a club consist of 15 members, how many different ways are there for the club to fill the…

A: The number of members is 15. The number of position is 3.

Q: The Schmidts are considering the purchase of 3 paintings for their home. Their decorator advises…

A: Given information- We have given The Schmidts are considering the purchase of 3 paintings for their…

Q: \item How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his…

A: Note: As per our Honor code policy, we are authorized to answer only three sub parts at a time. So,…

Q: A class has 10 students. How many choices for a president and a vice president are possible?

A: The number of total student are 10.

Q: A croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants,…

A: Type of croissants = r = 6   if we need to distribute "n"  number of croissants among " r " number…

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: She has to select 6 workshops where atleast 5 must be about music. She can do it 2 way, i. she…

Q: There are 4 men and 7 women auditioning to be in the school play. Answer the following questions:…

A: The number of ways 2 women , and 2 man can be selected from 4 men and 7 women is,…

Q: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information,   Number of boys = 7 Number of girls = 3   Total = 10

Q: how many ways can a coach select a guards? starting five of one center, two forwards and two

A: here given , basket ball team consist of 2 centers 4 forward and four guard

Q: A builder is planning to build 12 houses along one side of a road. He will build 2 houses in style…

A: Given data: The total numbers of houses are n=12. The number of styles A house is A=2. The number of…

Q: Your wardrobe consists of 5 shirts, 3 pairs of pants, and 17 bow ties. bow ties How many different…

A: According to multiplicative principle, if an event A can occur in m ways and each probability for A…

Q: Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6…

A:

Q: There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the…

A:

Q: A restaurant offers a choice of 5 salads, 15 main courses, and 9 desserts. How many possible…

A: We have find the probability of given problem.

Q: There are six performers who will present their comedy acts this weekend at a comedy club. How many…

A: Topic:- permutation and combinations

Q: A contractor has three styles of homes, each with three styles of garages, two styles of decks, and…

A: Answer: First we need to list all the possible selections and the number of choices that each…

Q: There are 5 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given : Number of men = 5 Number of women = 8

Q: A restaurant offers a choice of 4 salads, 13 main courses, and 6 desserts. How many possible…

A: Permutation and Combination: The different methods in which objects from a set could well be…

Q: If a club consists of 12 members, how many different ways are there for the club to fill the…

A: Given,total members=12

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: