A breakfast menu consists of 4 choices for juice, 3 choices for toast, 3 choices for eggs, 4 choices of meat, 6 choices for beverage and 5 choices for fruit. How many different breakfasts are possible if you choose one juice, one type of toast, two types of eggs, one or two meats, one beverage and zero to five types of fruit?

Q: A bag contains three red marbles, two green ones, one lavender one, three yellows, and three orange…

A: At most one of the yellow ones means 0 or 1 yellow ones. There are 3 yellow marbles.  And…

Q: A bag contains three red marbles, five green ones, one lavender one, four yellows, and three orange…

A:

Q: A restaurant offers 7 choices of main course, 8 sides, 5 appetizers, 7 beverages, and 3 desserts.…

A: Main course  = 7 Sides = 8 Appetizers = 5 Beverages =7 Desserts = 3 We have to find the total number…

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

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Q: .A college freshman must take a science course, a humanities course, and a mathematics course. If…

A: Solution

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

A:

Q: A basketball team consist of two centers, five forwards and four guards. In how many ways can the…

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

A: From the given information. The total number of states in the Midwest is 12. Each state is…

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

A:

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

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

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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 computer gaming company employs 10 programmers, 6 graphics specialists, and 3 creative designers.…

A: 4 programmers can be chosen from a group of 10 programmers in 10C4 ways. 2 graphics specialists can…

Q: You can choose from seven science courses and five humanities courses. In how many ways can he…

A: Number of science course = 7 Number of Humanities course = 5 Total number of course = 7+5 = 12…

Q: If a team of four players must be made from eight boys and six girls, how many teams can be made if…

A: 1. There are eight boys and six girls, totally there are 14 players. A team of four player. The…

Q: A buffet has 7 main dishes and 4 desserts. How many different combinations can one choose, if one…

A: Find the number of different combinations can one choose if one takes at least 1 and at most 3 main…

Q: In a class, there are 4 students majoring in computer science, 9 students majoring information…

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

A:

Q: Your favorite restaurant offers a total of 14 desserts, of which 8 have ice cream as a main…

A: From the provided information, Number of deserts with ice cream as a main ingredient = n (A) = 8…

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

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Q: The Senate in a certain state is comprised of 53​ Republicans, 44 Democrats, and 33 Indeependents.…

A: The number of ways to select 33 Republicans is 53C33.The number of ways to select 22 Democrats is…

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 of a corporation must select a president, a secretary, and a treasurer. In…

A: Consider the number of members is 18. The number of posts is 3. Then, the total number of ways in…

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

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Q: piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. in how many ways can i select…

A: Given, piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. We have to select only…

Q: If a club consists of 13 members, how many different arrangements of president, vice-president, and…

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: A student has a choice of four professors for English, four professors for Mathematics, and two…

A: Total no.of English Professors = 4 Total no.of Mathematics Professors = 4 Total no.of Health…

Q: In a survey conducted by Helena, a financial consultant, it was revealed that of her 400 clients,…

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Q: If a club consists of 18 members, how many different arrangements of president, vice- president, and…

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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: Three piggy banks each contain 20 coins: • Piggy Bank # 1 contains 12 gold coins, 5 silver coins and…

A: Probability : Probability is a field of mathematics that deals with numerical descriptions of how…

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

A:

Q: A teacher has 24 colored pencils and 18 pictures to be placed in groups with the same number of…

A: Question 3:             It is given that a teacher has 24 colored pencils and 18 pictures. The…

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A:

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A:

Q: A university student is selecting courses for his next semester. He can choose from 5  science…

A: Given,no.of science courses=5no.of humanities courses=10Total no.of courses=15

Q: The department has 5 faculty members and 15 students. How many ways can you form a committee of 7…

A: It is given that the department has 5 faculty members and 15 students. A committee has to be formed…

Q: A bag contains three red marbles, two green ones, one lavender one, two yellows, and three orange…

A: It is given that there are three red marbles, two green marbles, one lavender marbles, two yellow…

Q: If a club consists of 12 members, how many different arrangements of president, vice-president, and…

A: Given that  a club consists of 12 members. We have to find the number of different arrangements of…

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: A bag contains 5 red marbles, 2 green ones, 1 lavender one, 2 yellows, and 3 orange marbles.  How…

A: Since we will make sets, so order does not matter. So we will use combination.  Atmost one of the…

Q: A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries, and a…

A: Given, A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries,…

Q: From a league of 25 players, we want to choose 11 players for a football match. A goalkeeper, a…

A: We have to find correct answer..

Q: Suppose an outfit consists of a shirt, pants, and shoes. If you have 4 shirts, 7 pairs of pants and…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A veterinarian surveys 28 of his patrons.  He discovers that 12 have dogs, 10 have cats, and 6 have…

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 public health inspector wishes to inspect four restaurants by the end of the week. She has a list…

A: Given: Number of high-risk premises restaurants is 26, that is, x1=26. Number of medium-risk…

Q: How many committees of six can be formed from 18 Republicans and 20 Democrats if three members of…

A: Provided information: Number of Republicans members = 18 Number of Democrats members = 20

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

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.