A surgical procedure requires choosing among four alternative methodologies. The first can result in four possible outcomes, the second can result in five possible outcomes, and the remaining methodologies can each result in two possible outcomes. What is the total number of outcomes possible?

Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: A Permutation is the choice of r things from a set of n things without replacement and where the…

Q: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 204…

A:

Q: An organization has 15 members, 5 of whom are analysts, 3 of whom are chemists and the rest are…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: The research director of NASA must choose three experiments to send to the International Space…

A: The total number of experiments proposed = 17 Number of experiments need to be chosen = 3 We have to…

Q: A car can comfortably hold a family of five. If two people among the five can drive, how many…

A: To find: The number of different seating arrangements. Given: The total number of family member in 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: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

A:

Q: In a survey conducted by Helena, a financial consultant, it was revealed of her 409 clients 276 own…

A:

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: In a transportation problem with 4 sources and 8 destinations, how many shipping lanes will exist?

A:

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

A:

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

A:

Q: A computer gaming company employs 10 programmers, 6 graphics specialists, and 3 cre- ative…

A: We can select 4 programmers from 10 programmers in 10C4=210 ways We can select 2 graphics…

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: A club with 20 women and 17 men needs to form a committee of size six. How many committees are…

A:

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

A:

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So…

Q: A school chess team has six members, one of which is the team captain. If they are to compete in 6…

A: So in the given problem we have 6 members who will be playing chess on 6 boards simultaneously. But…

Q: a physics exam consists of 9 multiple-choice questions and 6b open-ended problems in which all work…

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

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: 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: 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: A small monster collector is visiting the Tauroto region during its annual Pirate Festival, and…

A: The collector has 15 small monster containment devices and intends to capture fewer of Water-type…

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 cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

A:

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

A:

Q: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

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

A:

Q: an automobile that was tested for production defects, but assume that the number of production…

A:

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

A:

Q: A surgical procedure requires choosing among four alternative methodologies. The first can result in…

A:

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

A:

Q: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums.…

A:

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Computer…

A: Number of students in mathematics MS= 4 Number of students in computer science CS = 3 Number of…

Q: A company needs to create three new departments and there are seven managers competing to run these…

A: Determine the number of ways in which can three new leaders be appointed. The number of ways in…

Q: A surgical procedure requires choosing among four alternative methodologies. The first can result in…

A:

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

A: The department is allowed to offer 43 sections total, there are 4,800 students who would like to…

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: If there are three candidates for governor and five for mayor, in how many ways can the two offices…

A: We have given that  Candidates for governor = 3 Candidates for mayor = 5 Total candidates = 8

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: Out of a population of 52 people, how many possible samples of size 2 are there?

A: Given information- Population size, n = 52 Sample size = 2 We have to find the number of possible…

Q: Dr. Lawrence plays in a 10-team dynasty football league, where the top six teams make the playoffs.…

A:

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

A:

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: 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: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

A:

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

A:

Q: n her last semester at SPC, polly hedron needs to take statistics and composition 2. because polly…

A: Number of choices for her section of Statistics = 16Number of choices for her section of Composition…

Q: The University of Ballygobackwards has three colleges: the College of Science, which has 15 staff, 5…

A:

Q: In a survey conducted by Helena, a financial consultant, it was revealed of her 411 clients 279 own…

A: Let S denotes the stocks, B denotes the bonds and M denotes the mutual funds. Then from the given…