You are planning a vacation to Patagonia. You have a choice of 5 hotels at which to stay, and a choice of 3 different cars rental companies to use. Patagonia offers 4 different day trips you can take. A vacation to Patagonia consists in selecting one hotel, one car rental company and 3 different day trips. How many ways are there to plan your vacation?

Q: Helen wants to buy a bunch of flowers. There are five types of flowers available, namely roses,…

A: There are 5 types of flowers. 16 flowers have to be picked with the only restriction being that no…

Q: At the campus cafeteria, a diner can purchase a "meal deal" that consists of an entree, a side dish,…

A: Given data, Number of choices for the entree=4 Number of choices for the side dish=3 Number of…

Q: Bilal wants to go to Islamabad. He can choose from 33 bus services or 22 train services to head from…

A:

Q: ts, a

A: To find : Whether the clothing combination is of Asha is more or less when compared tp Rosa.

Q: Rafael has 5 pairs of pants and 10 pairs of shorts. How many possible ways can he choose what to…

A:

Q: If the boy has 10 T-shirts, 6 pants, and 4 pairs of shoes. How many possibilities can he dress…

A:

Q: There are 12 cans of fruit and 8 cans of vegetables on a shelf at the food pantry, and you are a…

A:

Q: During the quarantine period, you have decided to clean your room. You found the following items:…

A: We have to select 3 items from 8 items and then arrange those 3 items in 3 boxes. Selection of r…

Q: girl has 9 skirts, 10 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Given that the girl has 9 skirts, 10 blouses and 4 pairs of shoes.

Q: A restaurant offers a menu with 5 appetizers, 5 main dishes, and 4 desserts.  If Zoey is low on cash…

A:

Q: You are the buyer for OHaganBooks.com and need to refresh your stock of fantasy novels and…

A: Given  let x1 be the packages brought from duffins and x2 be the packages brought from higgins we…

Q: Boris must choose a shirt and a pair of pants for today's outfit. He has  3  shirts and  3  pairs…

A:

Q: The book fair is this week, and there's a special deal for teachers. For every 5 hardcover books a…

A: For every 5 hardcover books a teacher buys, he or she can get 2 paperback books for free . That…

Q: I need to take Music-101, Pottery-101, and Plumbing-101 next semester. There are 9 sections of…

A: Selection

Q: Katie is shopping and has found 6 coats and 5 hats that she likes. (a) If Katie decides to buy one…

A: As this is a multiple sub-parts question, according to the Bartleby Answering Rule, only the first…

Q: An English teacher needs to pick 3 books to put on her reading list for the next school year. She…

A:

Q: a) You are buying 8 songs and there are 5 different genres to choose from. How many ways can you…

A: Given that  Buying songs=8 Different genres=5

Q: Juan has three boxes—one red, one white, and one blue. He has 9 different objects. In how many ways…

A: Given,total no.of objects=9

Q: He can wear ?  different outfits.

A: Juan owns 1 pairs of pants, 5 shirts, 4 ties, and 1 jackets.

Q: an inter-barangay basketball league, the team from Barangay Culiat has won 12 out of 25 games, a…

A: Follow next step

Q: The menu of a diner has three choices for salad, five main dishes, and two desserts.  How many…

A: Given data, choices for salad=3 choices for dishes=5 choices for desserts=2

Q: ally has 2 pairs of shoes, 4 pairs of pants, and 6 shirts. How many different outfits can she make…

A:

Q: At the restaurant i 23 En, they have 5 appetizer, 25 soup, 11 entree, and 7 dessert options. How…

A: According to the provided data, there are 5 appetizer, 25 soup, 11 entree and 7 dessert options at a…

Q: he best sports dorm on campus, Lombardi House, has won a total of 11 games this semester. Some of…

A: The addition or subtraction method of solving systems of linear equations is used to eliminate a…

Q: You and 3 friends are moving into a new apartment-style dorm. The dorm has 3 bedrooms, one with two…

A: There are totally 4 members. These 4 members must be arranged in 3 bed rooms. One bedroom has two…

Q: At a deli counter there are 7 sandwiches with meat and 6 vegetarian sandwiches. Carols is at the…

A:

Q: joining a music club. As part of her 4-CD introductory package, she can choose from 12 rock…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: n be created?

A:

Q: Demetrius has 17 books and he wants to read 5 over the summer. He has 9 fiction books and 8…

A:

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: The lunch special at a sandwich bar offers you a choice of5 sandwiches, 7 salads, 8 drinks and 3…

A:

Q: Suppose we want to choose 2 letters, without replacement, from the three letters A, B, C. How many…

A: There is a total of 3 letters A, B, and C. We want to pick 2 letters without replacement.  If the…

Q: Zack coordinates games for a youth soccer league. After Zack has figured out which teams are…

A:

Q: A bag contains six white marbles and five red marbles. Find the number of ways six marbles can be…

A: Given The given number of marbles are White marbles=6 Red marbles=5

Q: At the restaurant i 23 Σ π, they have 20 appetizer, 5 soup, 8 entree, and 24 dessert options.  How…

A:

Q: A chain of convenience stores has 4 warehouses and operates 35 retail outlets. In how many different…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A medical salesperson is to visit the various members of the staff at a clinic. He must see 8…

A: It is given that the sales person must see 8 doctors, 6 physicians assistants, 12 nurses, 3 medical…

Q: Harry has 4 shirts and some number of pairs of pants in his closet. He has a total of 8 possible…

A:

Q: You are the buyer for OHaganBooks.com and need to refresh your stock of fantasy novels and…

A: Let a be the number of packages bought from Duffin House and b be the number of packages bought from…

Q: At the restaurant i 23 Σ π, they have 22 soup, 6 appetizer, 16 salad, 7 entree, and 18 dessert…

A: Given: There are 22 soup, 6 appetizer, 16 salad, 7 entree and 18 dessert options at the restaurant.

Q: You can choose from 25 flavours of ice cream and have enough money to get exactly 3 scoops. How many…

A: We need to find out the number of ways for the following.

Q: Tim is a huge fan of country music. If Tim has time to listen to only 3 of the 10 songs on an album,…

A: Given information:It is given that Tim is a huge fan of country music.Tim is given time to listen…

Q: Selecting 2 students with replacement from a group of 20 students has the following number of…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or,…

Q: At the restaurant i 23 Σ π, they have 11 appetizer, 6 soup, 6 entree, and 24 dessert options.  How…

A: Given: There are 6 soup, 11 appetizer,  6 entree and 24 dessert options at the restaurant.

Q: You are planning a vacation to Patagonia. You have a choice of 4 hotels at which to stay, and a…

A: There are 4 hotels to stay, 3 different car rental companies to choose and 5 different day trips…

Q: When selecting your schedule in school, you can choose from three math courses, three English…

A: We have  Numbers of math courses = 3  Numbers of English courses = 3  Numbers of science courses = 2…

Q: A donut shop has 5 varieties of donuts and we want to order 10 donuts. But today, among their 5…

A:

Q: Elsa must choose a shirt, a pair of pants, and a cap for today's outfit. She has 2 shirts, 2 pairs…

A:

Q: A new restaurant has opened and they offer lunch combos for $5.00. With the combo meal you get 1…

A: number of ways to choose r items from n items =ncr

Q: At the ice cream shop, there are 19 flavors of ice cream available. How many ways can you select a…

A: Given,Total no.of flavours=19

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.