In how many different ways can five people be seated in a row if two of them insist on not sitting next to each other?

Q: Four married couples have bought 8 seats in a row for a concert.  In how many ways can they be…

A: If each couple sits together, we can think of each couple as 1 unit. So there are 4 units to be…

Q: Romano's Restaurant has the menu shown in the figure below. In how many ways can a meal consisting…

A: Given Information: The menu shows that there are 6 toppings for the pizza, 6 beverages, and 5…

Q: on a business retreat your company of 32 executives go golfing a. you need to divid up into…

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Q: Donald is making a salad at Sweet Tomatoes.  His salad can consist of just lettuce, or he can add…

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Q: meeting. In how many ways can 7 among them be seated on a row of 7 seats?

A: there are total 12 persons here use permutation

Q: There are 11 people at a party. If they all shake hands, how many different hand-shakes are there?…

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Q: Seven elementary students are selected to give a 3-minute presentation on what they did during…

A: The number of students is 7.

Q: 86. Arranging a Class Picture In how many ways can ten stu- dents be arranged in a row for a class…

A: Given: In how many ways can ten students be arranged in a row for a class picture if John and Jane…

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

A: Given data,No of different dogs n=19you have room for only 4 of them r=4How many different dog…

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: A landscaper has 7 different flowering plants. She needs to plant 4 of them in a row in a garden.…

A: A landscaper has 7 different flowering plants. She needs to plant 4 of them in a row in a garden.…

Q: If no twin sits together, how many different ways may n twin sit in a row?

A: Given there are n twins condition is no twin is sit together So,  There are two possible…

Q: Consider a regular deck of cards with 52 cards. In how many ways can we shuffle the deck if all the…

A: In how many ways can we shuffle the deck if all the red cards must be on top of all the black cards?…

Q: Movie Selections The Foreign Language Club is showing a five-movie marathon of subtitled movies. How…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: Using 13 flavors of ice cream, how many cones with 3 different flavors can you create if it is…

A: Given that  it is important to me which flavor goes on top, middle, bottom. So that means the order…

Q: At an auction of used construction vehicles, there are 9 different vehicles for sale. In how many…

A: there are total of 9 vehicles and we need to list 9 vehicles in the auctio program.  this can be…

Q: 5. License plates consists of three letters fllowed by three numbers. How many different license…

A: Licensed plate consists of 3 letters, followed by 3 numbers. No repetition,  a) The three digit…

Q: Fill in the blanks / identification: A class contains 10 students with 6 men and 4 women. Find the…

A: Given : A class contains 10 students: 6 men and 4 women.

Q: 3 Jasmine is reading a book. She has finished - of the book and has 81 pages left to read. How many…

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Q: 13. Camping On a camping trip, you bring 12 food items for 4 dinners. For each dinner, you use 3…

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

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

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Q: 51. a. In a drama class, 5 students are to be selected from 24 students to perform a synchronized…

A: We have to select 5 students out of 24 to perform a synchronized dance. This can be done by using…

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

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Q: An employee at a store is going to display 7 scented candles in a row on a shelf. He will put one of…

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Q: t has room for only 5 of them. In how many ways can they be chosen?

A: Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how many…

Q: Finite Math   You have 7 math books and 7 history books to put on a shelf with five slots. In how…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: 32. In Massachusetts there are a lot of Dunkin Donutses. It is not particularly unusual to find five…

A: There are 5 Dunkin Donuts per mile. Therefore the mean is 5 per square mile. So in 34 of a mile,…

Q: A bag contains 9 apples & 7 oranges. If you select 8 pieces of fruit without looking, how many ways…

A: If I pick exactly 7 apples , then I also pick exactly (8-7)=1 orange.  I can pick 7 apples from 9…

Q: In a city, the bus route numbers consist of a natural number less than 100, followed one of the…

A: In a city, the bus route numbers consist of a natural number less than 100, followed one of the…

Q: Toll collector on highway receives $3 for cars & $4 for buses. At the end of a 1 hour period, she…

A: Toll collector on highway receives $3 for cars & $4 for buses. At the end of a 1 hour period,…

Q: . An ice cream store has 8 different flavors, 2 different types of cones, and 3 different toppings.…

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Q: a maths debating team consist of 4 speakers. a) in how many ways can all 4 speakers.  a.) In how…

A: Here given that a maths debating team consist of 4 speakers. we have to find a.) In how many ways…

Q: A chocolate company does a tasting. The company makes 19 different varieties of chocolate and the…

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Q: 32. License Plates A state has registered 8 million automobiles. To simplify the license plate…

A: Given: A state has registered 8 million automobiles. To find: the number of license plates that can…

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

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Q: Customer account numbers for a certain company consist of 2 letters followed by 2 single digit…

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Q: A basket holds n apples. You pick (2n-3) apples, and your friend picks (n+4) apples. 1. How many…

A: A basket holds n apples. You pick (2n-3) apples, and your friend picks (n+4) apples. Then, we have…

Q: A grocery store has 6 checkout counters and 9 clerks. How many different ways can the 9 clerks be…

A: We have to find number  of different ways 9 clerks be assigned to 6 counters.

Q: At an auction of used construction vehicles, there are 7 different vehicles for sale. In how many…

A: We will use the factorial here to find the total orders.

Q: A group of 17 people who are members of an investment club wish to choose a president,…

A: There are 17 people group and we have to choose a president, vice-president, secretary, and…

Q: 8 toppings for pizza are available. In how many ways can Jim choose 2 of the toppings

A: There are 8 toppings for pizza.  To evaluate in how many ways can Jim choose 2 of the toppings.  It…

Q: In how many ways can you sit 8 people on a round table if Grace and Joey, who are members of the…

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Q: How many choices of 5 pocketbooks to read can be made from a set of nine pocketbooks?

A: The combination means a number of ways of selecting some items from the total number of items. For…

Q: Combination: In how many ways can a full house of three jacks and two tens be obtained?

A: Given: In how many ways can a full house of three jacks and two tens be obtained

Q: How many phone numbers (7 digits) have no numbers larger than a 6 if the first digit of a phone…

A: Introduction: A combination is a method of selecting items from a collection where the order of…

Q: arrives, the group decides that 4 people should get into the taxi. In how many ways can that be…

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Q: At a meeting between coworkers, the eight participants sit on a round table facing the beach. There…

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

Q: Using the roll of a six-sided die and the flip of a coin, in how many ways can you obtain a heads…

A: We have to find

Q: How many ways can a Vice president and three legislative members be chosen from a group of 20…

A: There are total of 20 people. First choose the Vice president,  For that we have to choose one from…