How many ways can 3 people be seated at a round table?

How many ways can 3 people be seated at a round table?

So there are two answers: There are 3! = 6 different ways of placing these three people in three distinct chairs. However, it we decide to consider rotated arrangements as basically the same, then there are only 2 ways.

How many ways can 10 students sit at a round table?

So the ten students can be arranged 9! or 362,880 ways.

How many ways can 11 people be seated around a circular table if two insist to seat next to each other?

There are 10! ways of doing this, so there’s your answer. A bit of arithmetic gives 10! = 3,628,800.

How many ways can you select a committee of 3 students out of 10 students?

How many ways can one choose a committee of 3 out of 10 people? ) = 120.

How many ways can 11 people be seated?

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 ways can a group of 10 children be seated in around table if 3 of them insist in sitting beside each other?

5040[/math] ways. The 3 people who want to sit together can be regarded as a single unit. There are 3! = 6 possible arrangements for them.

How many ways can 11 people seated in a row?

How many people can sit around a circular table?

Hence the number of arrangements (or ways) in which four different persons can sit around a circular table = (4 – 1)! = 3! = 6. Ques. In how many ways can 5 boys and 5 girls be seated at a round table so that no two girls may be together?

How many people can fit at a 60 inch table?

8-10 people can fit at a 60″ round table . If you seat 10, everyone will not be able to slide their chairs under the table. If you have formal place settings, you definitely can’t fit more than 8. How many people can sit at a 72 inch (6ft) round table? 10-12 people can fit at a 72″ round table .

How many ways can you seat 7 people in a room?

In a straight line (i.e. seating seven people in seven chairs next to each other), there are clearly 7! ways. But when they are joined in a circle, a rotation still counts the same way of seating everyone.

How many different arrangements can you make with 10 seats?

Pick one of 10 people to fill a seat. Now pick one of the remaining 9 people to fill the next seat clockwise, and so on. That makes 10⋅9⋅…⋅2⋅1=10! different arrangements in all. But there are 10 arrangements in each equivalence class, which you can get by rotating an arrangement by 0 to 9 seats. (If you rotate it by 10 seats it’s the same again.)