A student works in a bookstore where he is required to work at least four and at most five days a week, at least one of which has to be a weekend day (Saturday or Sunday). How many different weekly work schedules can this student have?

Q: Assume that she has 4 possible destinations: Utah, New England, Oregon, and Colorado. There are 4…

A: The objective of the problem is identified below: From the given information, there are 4 possible…

Q: If I have 3,493 points, right now, and I get 320 points every day, and I want to get 27,650 points,…

A: We have to find number of months to achieve 27650 points.

Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restrictions on the…

A: Answer:----.              Date:----6/10/2021 TOPIC:Combinatorics. Here, no restrictions on the…

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: library has an average of 510 visitors on Sunday and 240 on other days. The average number of…

A:

Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

A: Given, Janice jogs every 4 days and Jennifer jogs every 3 days. Today is a Tuesday and Janice and…

Q: A clothing store has a certain shirt in four sizes: small, medium, large, and extra-large. If it has…

A: Given: The number of small-sized shirts is 3. The number of medium-sized shirts is 4. The number of…

Q: uppose the sap is collected in gallon buckets that hang under each tap, and that the maple syrup…

A: It takes 40 gallons of sap to make one gallon of syrup The sap required for the production of 30,000…

Q: games. In how many different orders could they have two wins and two losses in four games?

A:

Q: A class of 50 students opens two vacant positions for the potential president and a treasurer. How…

A: The question is based on permutation. We will use the following formula for solving the problem.…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20 and…

A: 1 to 20 there are 20 numbers. Given that no number may be used twice. Means the combination will not…

Q: Six friends are taking a film history course and, because they have procrastinated, need to view…

A: Given information Six friends have a total of three DVD players in different dorm rooms and If each…

Q: Students are building their schedules at a small university. There are 12 departments offering…

A: There are 12 departments offering classes. A students have to build a schedule of 5 courses each…

Q: In a certain get together, there was a basket of fruits for every three guests, a basket of cookies…

A: Let the number of fruit baskets be x, the number of cookies baskets  be y and the number of chips…

Q: Consider three different classes at a small college; a mathematics class with 32 students, an…

A:

Q: A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the…

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

A:

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: Consider three different classes at a small college; a mathematics class with 32 students, an…

A: Given that n(A)= 32,n(A) =30,n(f) =26, n(MF) =13,n(AM)=11,n(AF) =16,n(AMF) =6.

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 traveling agent has to visit four cities, each of them five times. In how many different ways can…

A: There are 205! 5! 5! 5!ways to visit 4 cities, each of them 5 times.

Q: A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery.…

A: Let X and Y be two discrete random variables defined over the sample space S. Then the function f(x,…

Q: A clerk at a bookstore is restocking a shelf of the best-selling novels. He has three copies each of…

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Q: One of my first moderately expensive purchases when I was a college student was that of an audio…

A: Given that the studio offers 15 receivers, 9 speaker options, 6 turntables, and 6 cassette tape…

Q: The game of dominoes is played with black and white tiles Each tile is divided into two halves and…

A: The total number of items can be calculated using the combinations. The formula to otbain the number…

Q: Assume that in a university with 1000 students, 200 students are taking a course in mathematics, 300…

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Q: A combination lock uses 3 numbers, each of which can be 0 to 38. If there are no restrictions on the…

A:

Q: Suppose thirty-two students signed up for classes during an orientation session. If exactly twenty…

A: Follow the next steps for the solution. The detailed step by step solution by Polya's problem…

Q: in a baseball league consisting of 10 teams plays each of the other teams exactly three times . How…

A: Combination formula : nCr = n! /(n-r)! r!

Q: Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing,…

A:

Q: There are six tutors, four juniors and two seniors, who must be assigned to the 6 hours that a math…

A: (a) The number of different tutoring schedules that are possible if there are no restrictions in the…

Q: To fulfill certain requirements for a degree, a student must take one course each from the following…

A: There are total 300 options for a student.

Q: a) Felicia is deciding on her schedule for next semester. She must take each of the following…

A: a) There are no conflicts between the classes which means any class from one group can be scheduled…

Q: many people like both if cach of them likes at least one of the two?

A:

Q: Peter must select 3 electives from a group of 8 courses. If all 8 of these courses are available…

A: Given Information: Peter must select 3 electives from a group of 8 courses. If all 8 of these…

Q: 2. In a basketball league consisting of 10 teams, each team play each of the other teams exactly…

A: Given information: Total teams=10 Each team of the other teams exactly three times.

Q: Suppose that Jeremy is a highschool science teacher and that he is dividing 16 students in his…

A: Given problem Given that   Suppose that Jeremy is a high school science teacher. He is dividing 16…

Q: How many different 4​-person teams​ (order does not​ matter) can be put together from a group of 27…

A: We have to choose 4 people from 27 persons and the order does not matter. So we will use the…

Q: In a group of 35 music students, 16 students play an instrument, 16 students sing, and 19 students…

A: In the group of 35 music students, 16 students play an instrument, 16 students sing, and 19 students…

Q: A room with X full rows of chairs has every chair filled with a person. If there are y people…

A:

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.…

A: a) For each number we have 20 choices. Each position is independent of other positions  So by…

Q: Suppose thirty-two students signed up for classes during an orientation session. If exactly twenty…

A: Given that: Total number of students = 32Number of students signed up for chemistry =20Number of…

Q: Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing,…

A: We want to find n(A⋂B)= ?

Q: a committe of 5 people is to be chosen from a group of 6 men and 4 women how many committed are…

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Q: A police department in a small city consists of 10 officers. If the department policy is to have 5…

A: From the provided information, Total officers = 10 5 of the officers patrolling the streets, 2 of…

Q: Twenty automobiles enter a race. Eight are made by manufacturer A, seven by manufacturer B, and the…

A: Introduction: Total number of automobiles is 20. Number of cars made by Manufacturer A is 8. Number…

Q: A farmer knows that of every 50 eggs his chickens lay, only 45 will be marketable. If his chickens…

A: we have been given the information that  out of 50 eggs, only 45 are marketable

Q: augmented matrix

A: