How many different ways can 5 people be seated?

120
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. However if rotation symmetry is taken into account, there are five ways for people to sit at the table which are just rotations of each other.

How many ways can 6 persons be seated in 4 chairs?

Solution : 1st person can be seated in 6 ways , 2nd person in 5 ways, 3rd person in 4 ways and 4th person in 3 ways. Required number of ways =(6×5×4×3)=360.

How many ways can 6 people sit in a six passenger car?

720 ways
Permutation, nPr=n! (n−r)! Where, n = 6, r = 6. Therefore, 720 ways are there for six people to sit in a six-passenger car.

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

Now the remaining seats differ since a new person may sit to the right or left (clockwise/anticlockwise) of the first person, therefore there are 6! ways for 6 people to be situated around the table (with one place already taken by the first person). Therefore there are 1 × 6! ways for people to sit around a circular table.

How many people can set at a 6’72″ banquet table?

How many people can set at an 6′ (72″) banquet (rectangle) table? 6-8 people can fit at a 6′ table. If you seat 8, the people on the end will not be able to slide their chairs under the table. If you have formal place settings, you definitely can’t fit more than 6.

How many people can fit at a 72″ Round Table?

10-12 people can fit at a 72″ round table . If you seat 12, 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 10.

How many ways can you arrange two people’s seats in a room?

With those two people, you can have 2! =2 possible to arrange their seats (i.e. a person A can seat on the left or the right of person B). Thus, the total of ways you can arrange their seats is 24 * 2 = 48 ways. 8 clever moves when you have $1,000 in the bank.