animal shelter lines up 9 cages in a row. 4 of the cages contain cats and 5 of the cages contain dogs how many ways can the cages be arranged in a roaster that all the cats in cages are together and all of the dog cages are together

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Q: You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how…

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Q: A TV station is going to air a movie marathon with   8 movies. It will consist of   2 science…

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Q: Oliver (cat) and Dodger (dog) belong to a club of cats and dogs. There are five dogs and six cats in…

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Q: A teacher and 10 students are to be seated along a bench in the bleachers at a basketball game. In…

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Q: Amy is arranging 11 cans of food in a row on a shelf. She has 4 cans of peas, 1 can of carrots, and…

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Q: The Student Council at a certain school has ten members. Four members will form an executive…

A: Given,  The student council at a certain school has ten members.

Q: A landscaper has 6 different flowering plants and 4 different non-flowering bushes. She needs to…

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Q: dog shelter giving away 19 different dogs, but you have room for only 4 of them. How many different…

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Q: A tv station is going to air a movie marathon with 7 movies. It will consist of 5 science fiction…

A: Given that  A tv station is going to air a movie marathon with 7 movies. It will consist of 5…

Q: (a). Three boys and three girls are seated at the round table. How many different arrangements are…

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

Q: school dance committee is made up of 2 freshman, 6 sophomores, 2 juniors, and 2 seniors. How many…

A: A school dance committee is made up of 2 freshman, 6 sophomores, 2 juniors, and 2 seniors.

Q: Suppose we have 5 chickens, 3 goats, and 4 horses on our farm. All our animals have names, so…

A: Solution: From the given information, there are 5 chickens, 3 goats and 4 horses in farm.

Q: Two classes are going to combine to da a project together. The first class has 24 students and the…

A: Given,Two classes are going to combine to do a project together. The first class has 24 students and…

Q: A tv station is going to air a movie marathon with 9 movies. It will consist of 5 science fiction…

A: Given there are total 9 movies.

Q: A group of four friends goes to a restaurant for dinner. The restaurant offers 12 different main…

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

Q: 5. There are 10 applicants applying for three positions: hostess, server and busser. How many ways…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: A movie theater can play 30 westerns, 15 science fiction movies, and 10 horror movies (all movies…

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Q: 700 people went to the amusement park. 500 of them went on a roller-coaster, 100 of them went to the…

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Q: Ashu purchased seven distinct supercars and a garage with 10 consecutive spots numbered 0-9. He…

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Q: There are 18 candidates for three positions at a restaraunt. One position is for a cook. The second…

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Q: Three men and three woman have just six tickets in one row to the theater. In how many ways can they…

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Q: There are 16 fruits on the table. Maria has three more than trice fruits as Jack. Paul has one less…

A: Introduction :

Q: In a forest  4/7 of all the trees are conifer and the rest are leaf-bearing. Among the leaf-bearing…

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Q: A crate obtained apples and pears. There were 29 more apples than pears at first. After 1/3 of the…

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Q: You have 5 shades of blue paint and 2 shades of red paint. You are painting a room, and wish to use…

A: Given information: The number of shades of blue paint is 5. The number of shades of red paint is 2.…

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

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

Q: A company produces 5 different types of cookies. a) How many different boxes with 12 cookies is…

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Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

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Q: Six juniors and five seniors form a committee.  The committee needs a group of four people to work…

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Q: A meal consists of a main dish, a side dish, and a dessert. How many different meals can be selected…

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Q: Find in how many ways can two admirals, three generals, and four lieutenants can be seated in a row…

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Q: A group of ten people are attending the movies together. (a) Two of the ten insist on sitting…

A: Given that, a group of ten people are attending the movies together. a) Given that, two of the ten…

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

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Q: A catering service offers 6 appetizers, 10 main courses, and 4 desserts. A customer is to select  2…

A: Given : A catering service offers 6 appetizers, 10 main courses, and 4 desserts. A customer is to…

Q: You have 8DVDs to place on a shelf , but you only have room of 6 of them. How many different ways…

A: You have 8DVDs to place on a shelf , but you only have room of 6 of them. How many different ways…

Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

A: Given : In a Mathematics department of school ; No. of women = 7 No. of men = 9 Sample size (n) = 6…

Q: A football stadium has 25 sections of seating. Each section has 44 rows of seats, with 22 seats in…

A: A football stadium has 25 sections of seating. Each section has 44 rows of seats, with 22 seats in…

Q: A grocery store is placing an order for dairy products. There are 8 varieties of dairy products sold…

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Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

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Q: There are only seven seats in a van. One of the seats is modified to fit only a baby and one is the…

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Q: Student council needs to create a committee of 6 students to run their social events. 12 students…

A: There are 12 students.  In those 12 students, 8 are women and 4 men. A committee of 6 students are…

Q: 4 Mathematics books, 3 Chemistry books, 2 Physics books, and 1 Biology book are to be arranged on a…

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Q: In a flower shop there are 3 types of flowers: roses, lilies and tulips. In how many ways can we…

A: In this question we have to find choices of selection.

Q: Five men and three women are to be seated in a row of 8 chairs. How many different seating…

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Q: A team of 3 students is being chosen from a committee of 15. Find the number of different team can…

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Q: a class, 100 students play cricket ,120 play hockey and 150 play Tennis. For every 5 students who…

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Q: A TV station is going to air a movie marathon with 7 movies. It will consist of 5 science fiction…

A: Given: Number of science fiction movies = 5 Number of horror movies = 2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.