# Ten people are to be seated on 10 chairs in a line. Among them is a family of 3 that does not want to be separated. How many different seating arrangements are possible? Explain how you arrived at your answer

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### Math

There are 12 students to be seated in a row of 12 chairs. Paul and Martha have broken up and will not sit together. How many different seating arrangements are possible?

### Math/Precal

There are 12 students to be seated in a row of 12 chairs, paul and martha have broken up and will not sit together. How many different seating arrangements are possible?

### Math

In how many different ways can six of ten people be seated in a row of six chairs? I don't have the answer, but from my rough understanding of permutations and combinations, I got: 10C6 * 6! = 210 * 6! I figure first 6 people have to be chosen out of the 10, and that can be ...

### Math

Tell me how to figure out these probabilities In how many different orders can 9 people stand in line? In how many ways can 4 people be seated in a row of 12 chairs? Thank you For the first problem, we have nine people and want to arrange them in a line. For the first position...

### Mathematics

Suppose that 4 people sit in 4 chairs in a circle. How many different new seating arrangements are possible if each person can move 1 chair to the left or right or remain as is and if 1 person must be in each chair?

### algebra

Six people are going to be seated in a row of 8 chairs. How many different ways may they be seated?

### algebra

six people are going to be seated in a row of 8 chairs. how many different ways may they be seated?

### algebra

Six people are going to be seated in a row of 8 chairs. How many different ways may they be seated?

### Math

How many seating arrangements can be made with 9 students and 14 chairs?

### Statistics

Three men and two women are seated in a row of 6 chairs in an auditorium. If the seats at either end of the row are occupied by tom and jerry, how manu different ways can the five people be seated?

### Math

how many different ways can 8 people be seated in 3 chairs

### math

Six people are going to be seted in a row of 8 chairs. How many different ways may they be seated?

### math

one third of the people in a convention room are seated in three-fourths of the chairs. THe rest of the people in the room decide to stand. If there are 8 empty chairs, how many people are standing? Please fully explain because i am sooo confused!!!

### math 12

The six members of the yearbook staff sit around the circular table in their office. How many different seating arrangements are there of this group of people?

### math

in how many ways cn 4 people be seated around a circular table with 4 identical chairs? in how many ways can 5 people be seated around a circular table if 1 of the chairs is an armchair?

### Math

six people can sit in one table that is rectangular when two tables are placed together ten people can be seated how many people can be seated with three tables?

### math: permutations

Hi, I need your help. I just cant figure out how to solve this problem. Question: There are two rows of chairs. The first row has two chairs and the second row has four chairs. In how many ways can six people be seated if a couple from the group must sit in the same row? *** ...

### English

Welcome to the English debate. I'd like all of you to take part in this debate. The MC will preside over the debate. I'd like you, the speakers, to come to the front with desks and chairs and be seated on your chairs facing your classmates. On the right, three desks and chairs...

### math

Suppose that 4 people sit in 4 chairs in a circle. How many different new seating arrangemens are possible if each person can move 1 chair to the left or right or remain as is and if 1 person must be in each chair?

### Math

The teacher plans to assign 8 students to 8 desks for a debate. How many different seating arrangements are possible?

### math

three students are to be seated in a row of 10 chairs. What is the probability that they will be seated in adjacent seats

### math

three students are to be seated in a row of 10 chairs. What is the probability that they will be seated in adjacent seats

### math

three students are to be seated in a row of 10 chairs. What is the probability that they will be seated in adjacent seats

### math

In how many different ways can five students be seated in three chairs? 5 x 4 x 3 =60 am I right?

### Math

Suppose that we wish to seat ten people, 5 men and 5 women, in a row of ten chairs. In how many ways can we seat the people with no restrictions?

### Math

There are 5 chairs in a row, and three people. In how many ways c an you place the people on the chairs? (each person must occupy exactly one chair, so that two chairs will remain free).

A family has four children and we assume that births occur with equal frequency for both sexes. Construct a sample space for all possible family arrangements allowing for order of birth to count. a) How many different arrangements are possible? b)find P (three are boys)= c)...

### maths

there is a long table having 8 chairs on each side .there are 16 persons who are to be seated for a tea party.4 of them want to sit on a particular side and 2 other want to sit on the other side. in how many ways all the 16 people may be seated for the tea party

### algebra

the number of people that can be seated in a lecture hall varies directly with the number of rows of seats. if 72 people can be seated in 4 rows, write a direct variation equation to describe the number of people y that can be seated in x rows. then graph

### Math [Probability]

I'm in a Grade 12 Data Management Course. The Current unit is Factorials and Permutations. I'm having a trouble with this question. The answer is suppose to be 120 but I don't know how. How many different ways can 6 people be seated at a round table? Explain your reasoning. If...

### Data Management

At a banquet, 4 coupes are sitting along one side of a table with men & women alternating. a) how many seating arrangements are possible for these eight people? b) how many arrangements are possible if each couple sits together? explain your reasoning...

### Math

A banquet hall has 22 tables for 4 and 15 tables for 6 ,but 3 chairs are missing from the tables .How many many chairs will there be if 134 are seated

### math

at the concert, seated tickets cost M and standing tickets cost N. The seated tickets are three times the price of a standing ticket. If 200 seating tickets are sold and 100 standing tickets and the total receipts from the concert is \$2100, find the price of seated ticket.

### Probability

Ten horses run in a race. How many different arrangements of finishing are there?

### Math Repost

There are 5 boys and 4 girls in my class. In how many ways can they be seated in a row of 9 chairs such that at least 2 boys are next to each other? In how many ways can they be seated in a row of 9 chairs such that at least 3 girls are all next to each other?

### math

There are 5 boys and 4 girls in my class. In how many ways can they be seated in a row of 9 chairs such that at least 2 boys are next to each other? In how many ways can they be seated in a row of 9 chairs such that at least 3 girls are all next to each other?

### English

can you help me to answer these questions? What lifestyles (lifestyle is a manner of living that reflects the person's values and attitudes) can people lead? What are the main differences among lifestyles? What do you have in mind when you speak about luxurious, traditional ...

### math

how many ways can a,b,c,d be seated in a row of 4 chairs (no repeats)

### Math

Eight people are put into pairs and enter a room with a large table with four pairs of chairs (2 chairs and a lot of space then 2 more chairs and a lot of space and so on) Though they could sit anywhere they had to sit with there assigned partner. In How Many ways could the ...

### probability

How many different ways can 5 people be seated on a bench?

### english

Need to write a memo. Scenrio:You've been put in charge of planning a one-day departmental training seminar with Dr. Melaine Dobler as the speaker. You must make travel arrangements for the speaker, reserve company room large enough for the number of people attending,and ...

### MATH HELP HELP HELP HELP HELP

(a)Sarah wants to make a bracelet. She needs some beads and goes to a shop where they sell beads in exactly 100 different colours. i. How many ways can she pick 25 beads, each of a different colour? ii. How many ways can she pick any 25 beads? (b) Suppose that Sarah has picked...

### MATH HELP HELP HELP HELP HELP

(a)Sarah wants to make a bracelet. She needs some beads and goes to a shop where they sell beads in exactly 100 different colours. i. How many ways can she pick 25 beads, each of a different colour? ii. How many ways can she pick any 25 beads? (b) Suppose that Sarah has picked...

### math discrete

(a)Sarah wants to make a bracelet. She needs some beads and goes to a shop where they sell beads in exactly 100 different colours. i. How many ways can she pick 25 beads, each of a different colour? ii. How many ways can she pick any 25 beads? (b) Suppose that Sarah has picked...

### math

In Heather's class room there are red chairs,yellow chairs, and blue chairs. There are 3 red chairs. There are 4 times as many yellow chairs as red chairs, and there are 3 fewer blue chairs than yellow chairs. How many chairs are there in Heather's classroom?

### rty

april, bill, candace and bobby are to be seated at random in a row of 6 chairs

### math

Six hundred people came to the band concert that was held on the school's athletic field. half of the people sat in the bleachers. one third of the people sat in chairs on the track. the rest of the people sat on the grass. How many sat on the grass? In chairs? In the bleachers?

### Data managment math

1:There are 7 seats in the family new van. if 4 of the 7 family members can drive,how many possible seating arrengements are there for a family trip in the van? 2:How many even five digit numbers can be formed using only the numbers through 1 and 7?

### psychology

What different physical arrangements have you seen in the classrooms you’ve observed? Which arrangements seem most effective? Why?

### Probability

Ten horses run in a race. How many different arrangements of placing 1st, 2nd , 3rd? I tried by doing 10!over 7! But I don't know if that is correct , also how can you tell the finishing number as well.

### Data

Three Canadians, 4 Americans, and 2 Mexicans attend a trade conference. In how many ways can they be seated in a row if the people of the same nationality are to be seated next to each other?

### math

In how many ways can 6 students be seated in a row of 6 chairs if Shane insists on sitting in the first chair?

### Algebra

Diane has one stamp of each positive integer value 1 cent through 9 cents, inclusive. She wants to put 10 cents worth of postage in a row across the top of an envelope. If arrangements of the same stamps in different order are considered different, how many arrangements are ...

### Math

Diane has one stamp of each positive integer value 1 cent through 9 cents, inclusive. She wants to put 10 cents worth of postage in a row across the top of an envelope. If arrangements of the same stamps in different order are considered different, how many arrangements are ...

### Math

Four carpenters each built an average of 42 chairs last week. If no chairs were left uncompleted, and if Peter, who built 50 chairs, built the greatest number of chairs ,what is the least number of chairs one of the carpenters could have built, if no carpenter built a ...

### math

At a school there are 704 chairs to place into 22 classes if the same number of chairs are placed in each class rooms how many chairs will be in each room? So I divided 704 by 22 and came up with 32 chairs and I correct.

### maths

n how many ways can 8 persons be seated at a round table so that all shall not have the same neighbours in any two arrangements?

### math 12

Find the number of seating arrangements of eight basketball players on a bench if either the one centre or both of the two forwards must sit at the end where the coach always sits.

### math

In how many ways can 4 students from a group of 9 be seated in a row of 4 chairs? I tried 9C4 = 126, 126C4 am I going the right direction? thanks in advance

### English expression

How many are there in Mi-na's family? There are five in her family: her father, her mother, her older brother Min-su, her younger brother Min-ho, and her. How many people are there in Mi-na's family? How many members are there in Mi-na's family? How many people are in Mi-na's ...

### math

there are 6 rows with 18 chairs in each row. in the center of the chairs, 4 rows of 6 chairs are brown. the rest of the chairs are blue. how many chairs are blue?

### Algebra

5 Couples, having dinner before the prom are to be seated at a circular table. In how many ways can this occur if the seating must be boy girl, boy girl?

### algebra

alexis and martin helped the school set chairs in rows for an asembly . they put the same number of chairs in each row. using 92 chairs avalible , alexis made 4 ows with 2 chairs left over while martin made 5 rows with no chairs left over . a let c represent the number of ...

### math

Organisers for a polytechnic graduation has three sections of chairs to seat graduates, faculty and invited. 1120 chairs have been arranged for the graduatesm 1400 for the invited guests and 896 for the lecturers, if all the rows have the same number of chairs, calculate the ...

### Pre Calculus 30

I'm having a hard time understanding the fundamental counting principal and I don't even know where to start on some of the questions.Here are a few questions I'm having trouble with. 1.Andrea, Brian, Carol, David, Emmalee, Floyd, and Gloria are to stand in a line for a ...

### Math

Mr. Evans, Mrs Brooks and Mr. Soto are carpentersfrom Durham. They made 34 chairs all. Mr. Evans made 4 chairs than Mrs. Brooks. Mrs. Brooks and Mr. Soto made the same numbers of chairs. How many chairs did Mr. Evans make? a) 14 chairs b) 10 chairs c) 9 chairs d)7 chairs

Can anyone help me on these? i have no idea how to solve it. Thanks alot! 1)On a soccer team three fullbacks can play any of the three fullback positions, left, center, and right. The three halfbacks can play any of the three halfback positions, the four forwards can play any ...

### Math

* How many different odd 3-digit numbers can be formed using the digits 1,2,3,4,5 if none the numbes have repeating digits? * A bus having a seating capacity of 45 people is 80% occupied. When the bus stops one -third of the people get off and 3 people get on the bus. The bus ...

### english

Write a memo of 6–15 sentences based on the scenario given here. You’ve been put in charge of planning a one-day departmental training seminar with Dr. Melanie Dobler as the speaker. You must make travel arrangements for the speaker, reserve a company room large enough for...

### Algebra 2

In how many different ways can six people be seated in a six-passenger van?

### Math

Four couples have purchased ticket to the school play. Their sear are next to one another in a single row. If each couple sits side by side, how many seating arrangements are possible? (I came up with 24. correct??)

### Math

Abelardo wants to create several different 7-character screen names. He wants to use arrangements of the first 3 letters of his first name(abe, followed by arrangements of 4 digits in 1984, the year of his birth. How many different screen names can he create in this way? A.72 ...

### Algebra 2

Abelardo wants to create several different 7-character screen names. He wants to use arrangements of the first 3 letters of his first name(abe, followed by arrangements of 4 digits in 1984, the year of his birth. How many different screen names can he create in this way? A.72 ...

### math

A sunday school of 12 members is to be seated on seven chairs and a bench that accomodate five persons . In how many ways can the bench be occupied?

### Statistics

A driver comes to pick up members of your family for a family reunion. The van holds 7 people, not including the driver. Assuming that none of the babies will be riding in the van, how many different ways can 7 people be chosen to ride in the van?

### MATH - URGENT!!!

There are 5 boys and 4 girls in my class. In how many ways can they be seated in a row of 9 chairs such that at least 3 girls are all next to each other?

### math

Freddie Fast can make 6 4/5 chairs per hour on a furniture assembly line. Warren Weary makes 4 1/2 chairs per hour. In a 10-hour shift, how many more chairs does freddie make than warren? and if i may i would also like a small explanatation please i just done get it and thank ...

### SAT math

A family of 2 parents and 4 children is eating lunch at a rectangular table with 2 chairs on each side and one chair on each end. In how many ways can they be arranged if the two parents sit in the two end chairs? a. 12 b. 30 c. 36 d. 48 e. 720

### Data Management

Q1: Consider the word BASKETBALL a) how many of the arrangements begin with a k? (60 480) b) how many of the arrangements start with a B and end with a K? (10 080) For this question, I am not sure what they mean but it beginning with k or b... Q2: Joanne's bag of marbles ...

### Math

Which of the following problems would NOT have a solution? Five pizzas are shared equally among four people, and you want to know how much each person gets. Ten pizzas are shared equally among five people, and you want to know how much each person gets. Zero pizzas are shared ...

### Counting and Probability

There are 5 boys and 4 girls in my class. All of them are distinguishable. In how many ways can they be seated in a row of 9 chairs such that at least 2 boys are next to each other?

### math

Organizer of school graduation does have three sections of chairs. 1120 chairs are arranged for graduates, 1400 for invited guests and 896 for lecturers. If all rows have same number of chairs, calculate the greatest number of chairs in each row if no chairs are left over? ...

### Math

A lecture hall has 108 chairs arranged in rows with the same number of chairs in each row. You eliminate three rows by adding six chairs to each of the other rows. How many rows are there now ? How many chairs are in each row ?

### English:writing memo

Write a memo of 6–15 sentences based on the scenario given here. You’ve been put in charge of planning a one-day departmental training seminar with Dr. Melanie Dobler as the speaker. You must make travel arrangements for the speaker, reserve a company room large enough for...

### Algebra

Can you PLEASE help me with this Algebra problem: In a hotel conference room, the number of chairs is 47 more than the number of people currently in the room. The total number of legs currently in this room is 938. What is the sum of the digits in the number of people ...

### math

a driver comes to pick up members of your family (20 members) for a family reunion. the van holds 7 people not including the driver. assuming none of the babies will be riding (2 babies in the group of 20) how many different ways can 7 people be chosen to ride in the van?

### SraJMcGin

14. “pattern” (line 21) means: (A) design (B) formula (C) link (D) obligation 15. “focus on” (line 35) means: (A) concentrate one’s attention on (B) study the behaviour of (C) supervise the activities of (D) impose living conditions on 16. “accommodate” (line 45...

### Counting and Probability

If 4 boys and 5 girls are seated in a row of 9 chairs, what is the probability that the 2 girls will sit next to each other?

### Math

Wanda is filling saltshakers at tables and booths.There are 24 tables and 12 booths,each with 1 saltshaker.If Wanda has finished filling 17 saltshakers,how many more does she need to fill? 19? Danny is stacking chairs so he can mop the floor.There are 24 tables in the ...

### Discrete Math

7.A group has 9 women and 7 men. d. Suppose 2 members of the group refuse to work together. How many subgroups of 5 can be chosen 8. In how many ways can 16 people be seated: a. In a row, if 4 of the 16 do not want to sit next to one another b. In a row, if 3 of the 16 must be...

### Discrete Math

7.A group has 9 women and 7 men. d. Suppose 2 members of the group refuse to work together. How many subgroups of 5 can be chosen 8. In how many ways can 16 people be seated: a. In a row, if 4 of the 16 do not want to sit next to one another b. In a row, if 3 of the 16 must be...

2 rectangular tables are put together short ends together. 10 people can be seated around the tables. Add 2 tables again short ends together. How many people can be seated around the tables? Is there an equation you can use?

### math

Stamps come in large sheets with perforations in between. How many different ways can you buy 4 attached square stamps? ( Two ways to put them together are considered the same if one way can be turned or flipped so that its outline looks like the other way.) You can attach ...

### math

For the school play, most of the chairs are in rows of 10 each, with one row of 8 chairs. If there are 78 chairs altogether, how many rows are there?

### math

A man seated on a chair has a mass of 85 kg. Known that the mans weight is distributed so the chairs back legs support twice as much as the front legs. What is the mass taken by each leg?