How many ways can 9 people sit around a round table?

How many ways can 9 people be seated at a round table? If we are looking at specific positions around the table (e.g. numbered chairs) the first person can take 1 of 9 seats, the next person 1 of (the remaining) 8, then 1 of 7 etc. So total possible ways = 9*8*7*6*5*4*3*2 = 9! = 362,880 ways.

How many ways can people sit around a circular table?

24
Circular Permutations: The number of permutations of n elements in a circle is (n − 1)! In how many different ways can five people be seated at a circular table? So the answer is 24.

How many ways can 6 students sit around a circular table?

Example 1 In how many ways can 6 people be seated at a round table? Solution As discussed in the lesson, the number of ways will be (6 – 1)!, or 120. (i) A and B always sit together. (ii) C and D never sit together.

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.

What is the possible arrangement of 3 persons sitting around a circular table?

So there are two answers: There are 3! = 6 different ways of placing these three people in three distinct chairs.

How many ways can 10 students sit in a row?

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

How many ways can 13 persons be seated around a circular table?

Now, these 13 persons can be seated in 12! ways around a table . So required number of ways = 24 C13 x 12! = [24! / {13!(

How many different ways can 10 students form a circle?

So the ten students can be arranged 9! or 362,880 ways. The number of ways to arrange items in a circle is (n-1)!.

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

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