Table of Contents
- 1 How many ways can people sit at a round table for a way to be different at least one person must be sitting next to someone different?
- 2 How many ways can 7 students be seated at a round table?
- 3 How many ways can 6 people sit around a circular table?
- 4 How do you rotate the seats in a first person table?
How many ways can people sit at a round table for a way to be different at least one person must be sitting next to someone different?
So, there are 144 ways of sitting arrangements which are possible.
How many ways can 7 students be seated at a round table?
If we are using chairs, then the number of combinations is (7−1)! as previously noted. However if we are using a circular bench, then the location of the first two sitters is irrelevant. Accordingly the next five sitters can be placed in (7−2)! =720 ways.
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 sit at a 72 inch table?
How many people can sit at a 72 inch (6ft) 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 places in a circle can be filled with 10 digits?
So we have 6 places and each of the places can be filled with any one of the 10 digits. Permutation in a circle is called circular permutation. If we consider a round table and 3 persons then the number of different sitting arrangement that we can have around the round table is an example of circular permutation.
How do you rotate the seats in a first person table?
First person can pick any of the 10 available seats, and then we can essentially “rotate” the table so that no matter which seat is chosen, the table “looks” the same. Then the second person chooses one of the remaining 9 seats. This (and all subsequent) seat choice is distinct in relation to where the second person sits to the first person.