Table of Contents
- 1 How many ways are there to arrange 8 people at a round table two arrangements are called the same if one can be obtained from another by rotation?
- 2 How many ways can you seat 8 people at a round table if Alex and Bob sit in adjacent seats?
- 3 How many ways 8 students can be arranged in a circle?
- 4 How many different ways can eight people sit around a table?
- 5 How many ways can 7 people be arranged in a circular table?
- 6 How many ways can 8 people be seated around a round table?
- 7 How many people can sit in a table with 4 chairs?
- 8 How many ways can you arrange 8 people in a room?
How many ways are there to arrange 8 people at a round table two arrangements are called the same if one can be obtained from another by rotation?
There are 8 such “identical rotations” for each possible seating arrangement so the total number of seatings is 8! / 8 = 7! = 5040. Originally Answered: How many ways can 8 people sit around a table? Here ,we can arrange these people in 5040 ways .
How many ways can you seat 8 people at a round table if Alex and Bob sit in adjacent seats?
= 403200 ways to sit 8 people in the manner described.
How many ways can 8 people sit at a table of 8?
∴ 8 friends can sit around a table in 5040 ways.
How many ways 8 students can be arranged in a circle?
5040
(ii) The number of ways in which 8 students can be arranged in a circle =(8-1)! =7! =(7×6×5×4×3×2×1)=5040.
How many different ways can eight people sit around a table?
Number of ways in which 8 people can sit around a table. Sitting around a table is equivalent to circularly arranging the 8 people. Thus, the number of arrangements = (8-1)! = 7!
How many ways is it possible to sit 8 people?
27⋅8! =11520.
How many ways can 7 people be arranged in a circular table?
360 ways
Complete step-by-step answer: 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 ways can 8 people be seated around a round table?
Hence total no of ways 8 persons can be seated around a round table such that 2 given persons are seated next to each other = 2*6! = 1440. A then B. Then 6! ways of seating the other 6 to right of B. Also consider B then A. Again 6! ways to the right of A. Total 6!+6!=2x 6!=2×720=1440.
How many seating arrangements can be made with 3 people?
With 3 people sitting, it’s the same as with 2 and the third choosing to sit in any of the 2 remaining chairs, for a total of 6 arrangements. If you add up from 1 to 4 persons, you get 1+3+6+6=15 arrangements. Assuming 4 persons are to be seated, the first person to select a seat has 4 choices.
How many people can sit in a table with 4 chairs?
But if rotations were considered new arrangements, then the answer would be 4! = 24. Now, if only 1 person sits at the table, they can sit in any of 4 chairs; however, since rotations are not new arrangements, all 4 chairs are equiv If there are four seats in a round table, how many possible ways do people seat in the circular table?
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.