A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries, and a soft drink. If the restaurant has 3 different sandwiches and 4 different soft drink possibilities, how many different special luncheon combinations are available?

Q: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

A: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

Q: Don has nine pairs of shoes, six pairs of pants, and seven shirts. If all items are compatible, how…

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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 college freshman must take a science course, a computer science course, and a mathematics course.…

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Q: A group of 15 boys and 12 girls are planning to have a beach party. How many different committees of…

A: In how many different committees of 3 boys and 2 girls can be formed from this group of students if…

Q: A dog shelter is giving away 11 different​ dogs, but you have room for only 3 of them. How many…

A: From the provided information, A dog shelter is giving away 11 different dogs. There are room for…

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

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Q: A girl owns 6 pairs of pants, 7 shirts, 6 ties, and 2 jackets. How many different outfits can the…

A: Since it is given that the A girl owns 6 pairs of pants, 7 shirts, 6 ties, and 2 jackets.

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

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

A:

Q: A sushi restaurant offers a three-course buffet lunch. Each customer must make one selection from…

A: The customer can select 1 item : from the reddish range in 5 ways. from the yellow dish range in 6…

Q: A softball league has 13 teams. If every team must play every other team once in the first round of…

A: We are given that there are 13 teams and every team needs to play against every other team. For exam…

Q: A certain eatery offers a meal that serves a combination of a soup, sandwich and beverage. There are…

A: The given data is: Two kinds of soup (corn or asparagus) 4 sandwiches (chicken, ham, mushroom, or…

Q: one family has comfortable children, with four daughters and two sons from a village of 1000 houses,…

A: As per given by the question, one family has comfortable children's with four daughter and two son…

Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…

A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…

Q: A one-topping pizza consists of choosing a crust, a type of cheese, and one topping. If there are 4…

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Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

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Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: The given question requires number of pairs between two teams. Note that if team A and team B are…

Q: A club has 21 sophomores and 13 freshmen president, secretary, and a committee of four, what is…

A: so it can be solve by using

Q: A student club consists of 10 freshmen and 8 sophomores. How many different four-person committees…

A: A student club consists of 10 freshmen and 8 sophomores.

Q: A softball league has eleven teams. If every team must play every other team once in the first round…

A:

Q: The table d'hote (complete meal) at a french restaurant consists of a salad, enree, and a dessert.…

A: There are 2 salad choices, 5 entrée choices, and 3 dessert choices.

Q: A dog shelter is giving away 16 different dogs, but you have room for only six of them. How many…

A: A dog shelter is giving away 16 different dogs. And there is room for only six of them.

Q: An equestrian club has ten members. If the club wants to select a president, vice president, and…

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Q: cafeteria offers a complete dinner that includes one serving each of appetizer, soup, entrée, and…

A: First of all we will list the total different choices we have for each of the things

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: The owner of a stereo store wants to advertise that he has many different sound systems in stock.…

A: The owner of a stereo store wants to advertise that he has many different sound systems in stock.…

Q: In a certain class there are a total of 29 majors in mathematics, 21 majors in philosophy, and 7…

A:

Q: In the United States Senate, each state is represented by one junior senator and one senior senator.…

A: It was stated that United States Senate, each state is represented by one junior senator and one…

Q: The board of directors corporation must select a president, secretary, and a treasurer. In how many…

A: Given Data: The total number of members is: n=25 There are three members required a president,…

Q: If there are 10 multiple-choice questions on an exam, each having three possible answers, how many…

A: From the provided information, There are 10 multiple-choice questions on an exam. Each question has…

Q: A boy owns 6 pairs of pants, 7 shirts, 3 ties, and 1 jackets. How many different outfits can he wear…

A: He can choose a pant in 6 ways.  He can choose a shirt in 7 ways He can choose a tie in 3 ways He…

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: A complete meal is composed of 1 cup of rice, 1 viand, 1 glass of drinks and 1 dessert. If there are…

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Q: The cafeteria is serving french toast, cereal, and fruit. If a student may choose any two of those…

A:

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: Out of a group of 20 children, 10 drink tea, 9 drink coffee and 7 drink milo. 4 drink tea and coffee…

A: Given Number of children drink tea = n(T) = 10 number of children drink coffee = n(C) = 9 number of…

Q: How many different meals are possible from a menu if you choose one each of 5 appetizers, 4 entrées,…

A: Given data : Number of appetizers= 5 Number of entrees= 4 Number of desserts= 3 Number of beverages=…

Q: There are five action, three drama, and four comedy films showing at a local  mall. If Phoebe goes…

A:

Q: A basketball team contains 20 players. If 5 people can be on the court at one time, how many…

A: Total number of players is 20. The number of player to be court at one time is 5.

Q: How many breakfast meals consisting of a fruit, a sandwich, and a drink are possible if one can…

A:

Q: A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways…

A: Solution

Q: A teacher and his eleven students are standing in a single file line waiting to enter the cafeteria…

A: We have given that a teacher and his eleven students are standing in a single file line waiting to…

Q: At the north campus of a performing arts school, 30% of the students are music majors. At the south…

A:

Q: In a buffet, there are 4 choices of appetizers, 5 choices for the main dish, and 3 choices for the…

A: The answer is attached below,

Q: A girl owns 5 pairs of pants, 5 shirts, 4 ties, and 2 jackets. How many different outfits can the…

A:

Q: A restaurant offers a three-course meal with the following options available for each course:…

A: The provided information is  Choices of Appetizers: 8 Choices of Main course : 3 Choices of desserts…

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: In a certain class there are a total of 37 majors in mathematics, 18 majors in philosophy, and 5…

A:

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.