How many ways can 8 people be seated in a row if there are no restrictions on the seating arrangement?

40320 ways
= 8! = 40320 ways. Therefore, there are 40320 ways that the people can be seated when there is no restriction on the seating arrangement.

How many ways can 8 people sit in 8 chairs?

We need to multiply the permutation above by 2, since the two people insisting to sit next to each other has a choice if they are to be seated left or right of each other. Therefore, there are 10080 possible ways for eight people to be seated in a row of 8 chairs if two people insist on sitting next to each other.

How many ways how sit 8 people in a row of 12 seats so that each 6 of the 8 people can’t sit next to each other?

(720) ways to arrange the other six people. So there are a total of 1,440 arrangements.

How many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each other?

−2⋅5! =4⋅5! =480 ways of arranging the candidates so that a and b are not next to each other.

How many ways can 5 people arrange themselves on a bench if Johnny has to be the one in the middle Johnny is one of the five show your work?

= 5x4x3x2x1 = 120.

How many ways can eight people be seated in a row?

Originally Answered: In how many ways can eight people be seated in a row of eight seats if two people insist on sitting next to each other? If there are 8 people and 2 need to sit next to each other you have 7 groups to seat. The 6 who are don’t care and the couple who need to sit together.

How many seats are there in an 8 Person table?

That arrangement was counted separately from the first one in the 8! but it’s really the same since if each person looks to their left and their right, they’re sitting next to the same person. There are 8 such “identical rotations” for each possible seating arrangement so the total number of seatings is 8! / 8 = 7! = 5040.

How many ways can you arrange 8 people in a room?

There are 8! ways that you can arrange 8 people. Now, imagine a specific arrangement. Now, have everyone get up and move one seat to their right. That arrangement was counted separately from the first one in the 8! but it’s really the same since if each person looks to their left and their right, they’re sitting next to the same person.

How many possible seating arrangements are there?

So there are a total of 1,440 arrangements. The same calculation works if A sits in seat 3, 4, 5, 6, or 7, so there are a total of 5×1440, or 7,200 arrangements. If A sits in seat 8, the calculation is the same as when A sits in seat 1, or 720 possible arrangements.