A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many different arrangements of cars are possible?

Q: 2-) club officers: If a club consists of 10 members, how many different arrangements of president,…

A: Given that ; Total A club has 10 members i.e. (n) = 10  Total posts are (r) = 3  By usin…

Q: 11. There are 8 women and 10 men in the math department. (a) How many ways can a committee of 4…

A: Given that, there are 8 women and 10 men in the math department. We need to find: (a) How many ways…

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A:

Q: 1. The Rotary Club and the Jaycess Club had a joint Christmas party. 120 members of the Rotary Club…

A: Venn diagram are used to understand the set of relationship between the two or more sets. It also…

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:

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: The average age of the members of a country club is 54 years old. If there are ten 36-year-olds,…

A: Let the age of 20 other members be x years. Now  Age of 10 members=36 Age of 50 members =60 Total…

Q: . A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A: Q c asked and answered.

Q: 14.) New Breakfast Cereals. General Mills is testing 6 oat cereals, 5 wheat cereals, and 4 rice…

A: We have given that  Oat cereals = 6 Wheat cereals = 5 Rice cereals = 4

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

Q: 3.65 We have seven girls and seven boys. In how many ways can we form: (a) seven girl-boy pairs to…

A:

Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: 3) A restaurant offers 4 choices of appetizer, 9 choices of main meal and 3 choices of dessert. A…

A: If the customer wants to eat a 1 course meal, then the number of possible meals offered by the…

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: 47. The membership of a particular club consists of 8 men and 4 women. If no one may hold more than…

A: Note: As per Bartleby Guidelines, only 3 subparts of a question can be solved at a time. so kindly…

Q: 2. A food committee prepared 3 kinds of sandwiches, 5 drinks, 4 fruits and three candies. How many…

A: Given :   n1=3 kind of Sandwiches  n2= 5 kind of drinks   n3=4 kind of fruits n4=3 kind of candy  We…

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: In how many ways can 3 novels, 4 mathematics books, and 1 biology book be arranged on a bookshelf if…

A: Given, 3 Novels N1, N2, N3 4 Mathematics M1, M2, M3, M4 1 Biology B1

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: 11) A board of directors needs to assign a chair, vice chair, treasurer, secretary and…

A:

Q: 8) A company wants to hire a software engineer, an administrative assistant, and a sales…

A: 8) Given data A company wants to hire a software engineer, an administrative assistant and a sales…

Q: A. In a manufacturing operation, a part is produced by machining, polishing, and painting. If there…

A: Manufacturing Operations  Number of Tools Machining 3 Polishing 4 Painting 3 Process of…

Q: A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to…

A: a) There are total 17 members  We can pick 9 from 17 members in 17C9=24310 ways  Answer(a): 24310

Q: There are 7 women and 8 men in a department​ a) How many ways can a committee of 6 people be…

A: (a)   Determine the number of ways in which can a committee of 6 people be selected.   The number of…

Q: A coffee shop offers five different flavors of coffee and three flavors of doughnuts. How many…

A:

Q: How many 4-person committees are possible from a group of 10 people including Francis and Jojo if…

A: Given: Total number of people = 10 (including Francis and Jojo)Required committees = 4 person

Q: 3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: 6. You have a pool of 10 women and 16 men, and you need to form an 8-member team made up of four…

A: Total number of men = 16  Total number of women = 10

Q: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: Note: Hi there! Thank you for posting the questions. As there are several independent questions,…

Q: 5. A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

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

Q: In a group of 37 children, 19 had a dog, 17 had a cat, and 14 had both a dog and a cat. How many…

A:

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: 2)A class contains 18 girls and 14 boys. For all parts of this question, each boy and girl are…

A: Respected student, By policy of Bartleby we are solving your first 3 parts, Please repost other…

Q: A class contains 9 boys and 3 girls. (i) In how many ways can the teacher choose a committee of 4?…

A: It is an important part of statistics. It is widely used.

Q: 11. A quesadilla restaurant has five different meats, six different fillings, and two different…

A: Introduction: We need to find the number of possible ways of ordering a quesadilla, having one type…

Q: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10…

A:

Q: Given 9 different types. of ice cream: 4 with chocolate chip, 4 with sprinkles, and 3 with both, how…

A: solution:Given9 different type of icecreamchocolate chips=4sprinkles=4chocolate chips and sprinkles…

Q: 10. Five Filipino, four Canadians, and four Brazilians are to sit at a circular table. In how many…

A:

Q: . A car rental company has a fleet of 7 trucks, 9 sedans, and 8 hatchbacks. If a retail franchise…

A: We have to find

Q: 11. A pizza parlor has three types of crust, 8 different toppings, and two different cheese blends…

A: Solution: 11. From the given information, a pizza parlor has three types of crust, 8 different…

Q: How many ways can 6 people be seated in a round table if a. persons A and B must sit next to each…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: A classroom has 10 students a) How many ways can they line up to form a row? b) In how many ways can…

A: by bartleby policy i can give only 3 subparts answer, A classroom has 10 students

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: a) The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: 1. A college freshman must take a science course, a humanities course, and a mathematics course. If…

A:

Q: how many ways can 2 men, 3 women, 4 boys, and 5 girls be selected from 4 men, 5 women, 6 boys and 7…

A:

Q: 6. One serving of banana split contains three scoops of different flavors of ice cream, 3 different…

A: Given: Number of ice cream flavors=3Number of syrups=3Number of nuts=2 One has to select 3 ice cream…

Q: 4. A three-member panel of judges are to be chosen from 5 men and 3 women. In how many ways can this…

A:

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: In how many ways can a committee of two men and three women be formed from a group of nine men and…

A: In how many ways can a committee of two men and three women be formed from a group of nine men and…

Q: 5. A married couple wishes to have four children. How many possible arrangement of children can be…

A: 5. It is given that a married couple wishes to have four children.

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.