Questions

How many ways that a family of 5 can be seated around a circular table with 5 chairs?

How many ways that a family of 5 can be seated around a circular table with 5 chairs?

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

How many ways can 5 people be seated around a round table so that the relative arrangements of the people is different?

Answer: If the symmetry of the table is not taken into account the number of possibilities is 5! = 120. In this case it would be the same as ordering people on a line.

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How many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting side by side?

How many ways 8 persons be seated around a circular table facing the center such that 3 particular persons are always together? entities. So these can be arranged across a circular table in (6−1)! =5!

How many ways 7 people can be seated at a round table if two particular person must not sit next to each other?

Since in this question we have to arrange persons in a circle and 7 persons have to be arranged in a circle so that every person shall not have the same neighbor. Hence there are 360 ways to do the above arrangement and therefore the correct option is A.

How many different ways can 5 students be seated in a row?

120 different ways
So there are 120 different ways to seat 5 girls in 5 chairs.

How many ways can 5 people sit around a circular table if Alice and Bob won’t sit next to each other?

= 362,880 ways. The number of circular permutations of distinct objects is , because permutations related by a simple rotation are not considered different.

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How many ways can 5 people be seated around a circular table if two of them insist on sitting beside each other?

How many ways can 8 people sit in a circular table?

So the answer is that there are 5,040 possible permutations of 8 people around a circular table.

What are the number of ways of seating 7 candidates for an interview around a round table if all the four womens want to sit together?

3c3 is the answer. 105.