How many ways can a jury of 6 women and 6 men be selected from 10 women and 12 men?   B. Andersen Research Company decides to test-market a product in 6 areas. How many different ways can 3 areas be selected in a certain order for the first test?

Q: 14. JCL Computers has five vacancies in its executive trainee program. In how many ways can the…

A: Given that there are 10 females and 10 males. So total (10+10)=20 persons. They can select any 5…

Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: 40 cities were research to determine whether they had a professional sports team a children museum.…

A:

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: 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: 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: (b) In how many different ways can you order 1 cone and 2 scoops of ice cream which are not the same…

A: Given,  A motor pool contains 5 subcompact sedans, 4 compact sedans, and 3 midsize sedans.

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: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: 12 In how many ways can a committee of 8 members be selected from a class of 15 students?

A:

Q: eight students from a pool of nine female students and seven male students are to be selected to…

A: Given, There are nine female students and seven male students. We want to select eight students.

Q: In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?

A: There are a total of 210 contestants. Remember that the same person cannot receive more than 1…

Q: In how many ways can a committee of three men and four women be formed from a group of 9 men and 9…

A:

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: 2. How many different committees of 4 members can be formed from a group. with 7 seniors and 6…

A: Permutations is the collection of items or elements arranged in a different way with ordering where…

Q: A 8 person committee consist of 5 women, including Margaret, and 3 men, including Anthony. If a…

A: a) Given that there are 5 women and 3 men.  We can pick 1 man in 3C1 ways and 2 women in 5C2 ways So…

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

A:

Q: In how many different ways can 7 of 19 teachers be selected to assist with the preparation of exams?…

A:

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

A: ANSWER: From the given data,

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no two donuts…

A:

Q: In how many ways can 8 people be seated in a ROUND TABLE if (a) there are no restrictions on the…

A: (a) (n-1)!=(8-1)!=7!(b) AB        ↓     1 unit∴ n = 7No of ways = (7-1)! 2!…

Q: The New Shanghai Restaurant offers a choice of two appetizers, five choices of soups, and twelve…

A: From the provided information, The restaurant offers a choice of two appetizers, five choices of…

Q: 5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in…

A: (a) Obtain the number of different committees that can be formed as follows.

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Dear students as per guidelines we answer the first three subparts only.   Solution

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: In how many ways can nature select 4 students out of a class of 15 students to get the flu? In how…

A:

Q: Sally lives in City A and works for the department of transportation. She needs to inspect the weigh…

A: If sally starts from city A and after going to 6 cities she returned home then: 4!=24 ways.  If…

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A: A. The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

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: 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. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

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: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

A:

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: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute…

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: 11. How many 12-person juries can be made from a jury pool of 20 people?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: How many different letter arrangements can be made from the letters in the word of ASSASSINATION

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: The New Shanghai Restaurant offers a choice of four appetizers, three choices of soups, and ten…

A: Given that:                       Number of choices of appetizers = 3Number of choices of soups =…

Q: ally lives in City A and works for the department of transportation. She needs to inspect the weigh…

A: It is given that the number of cities to inspect is 13.

Q: Twelve officers of an organization are to be divided into committees. In how many ways can the…

A: For the given problem select the correct choice

Q: The Student Engineering Council at a certain college has one representative from each of the five…

A: Given information- We have given that in the Student Engineering Council each engineering majors…

Q: A club has 25 members. a) How many ways are there to choose four members of the club to serve on an…

A:

Q: 2. You were tasked to take charge of the auditions for the female parts of a stage play. In how many…

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.