# How many ways can 10 people be seated in a row so that a given pair is not next to each other?

## How many ways can 10 people be seated in a row so that a given pair is not next to each other?

= 3265920 ways for the ten people to be seated so that a certain to are not next to each other.

### How many ways are possible to sit ten students in a row if four specific students refuse to sit together?

So the ten students can be arranged 9! or 362,880 ways. Four students wish to sit next to each other.

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#### How many ways can 6 people are seated in a round table if two people insist on seating beside each other?

With no restriction, 6 people can be seated 6!= 720 ways. Let me tag with 5 and 6 the two people who insist on sitting beside each other, and with 1, 2, 3, 4 the others.

How many ways can 8 persons be seated at a round table in how many cases will 2 particular persons sit together?

ways, where n refers to the number of elements to be arranged. = 5040 ways.

How many ways can 10 students be seated in a row?

Explanation: 10 students can be arranged in a row in 10P10 = 10! ways.

## How many ways can 10 persons be seated in a round table?

The number of ways 10 people can be seated abreast = 10! = 3,628,800. This is also the number of ways that 10 people can be seated at a round table if we choose a particular point to be the beginning and end of the row.

### How many ways can 10 students be seated in a round table?

But there are 10 possible such points. So there are 10 ways of seating 10 people abreast for every way of seating them at a round table. It follows that the number of ways of seating 10 people at a round table = 10!/10 = 9! = 362,880.

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#### How many ways can 5 persons be seated at a round table?

24
In how many different ways can five people be seated at a circular table? So the answer is 24.

How many ways can 11 people seated in a row?

So the total number of ways to seat the 11 people in 12 seats is: 12×11! =12! So the correct answer is 12! =479001600 ways.

How many different ways can 10 students be seated in row if only 5 seats are available?

There could be 3628800 possible arrangements. Originally Answered: How many ways can 10 students be seated in a row?

## How many ways do the chosen two people not sit next to each other?

The total number of ways the chosen two people do not sit next to each other is 10! − 9 ⋅ 2 ⋅ 8! = 2, 903, 040. Thanks for contributing an answer to Mathematics Stack Exchange!

### How many people can sit in a table with 4 chairs?

But if rotations were considered new arrangements, then the answer would be 4! = 24. Now, if only 1 person sits at the table, they can sit in any of 4 chairs; however, since rotations are not new arrangements, all 4 chairs are equiv If there are four seats in a round table, how many possible ways do people seat in the circular table?

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#### How many seating arrangements can be made with 3 people?

With 3 people sitting, it’s the same as with 2 and the third choosing to sit in any of the 2 remaining chairs, for a total of 6 arrangements. If you add up from 1 to 4 persons, you get 1+3+6+6=15 arrangements. Assuming 4 persons are to be seated, the first person to select a seat has 4 choices.

How many possible positions are there for two special people?

However the remaining one cannot sit next to the other special person, so only 8 possible positions. Overall 8 × 9! Call the two special people A and B. There are nine seats where the “left” one can sit and the right next to him. There are two such cases A B and B A.