So there are 5040 ways of arranging seven people in a row of seven chairs.
How many ways can 7 people be seated at a round table if 2 particular people must not sit next to each other?
Originally Answered: In how many ways can 7 people be seated around a circular table if 2 people must not seat together? Suppose the 2 people are together – you are to arrange 6 ‘units’ around the table. This can be done in [6 – 1]! = 120 ways.
How many ways can seven people sit at a round table for a way to be different at least one person must be sitting next to someone different?
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 5 people be seated around a circular table if 2 of the people must be seated next to each other?
As the two person A and B can be arranged as AB or BA, total number of arrangements with the two persons next to each other is 2 x 120 = 240 ways.
How many ways can 7 boys and 4 girls can be seated in a round table if the girls are to be seated separately?
7*6*5*4=604,800 arrangements.
How many can 5 persons be seated in a row of 7 chairs?
5! ⋅2! =21 ways of choosing which 5 chairs from the 7 will have people sitting in them.
How many ways can six people be seated in six seats if the first seat is always occupied by the same person?
720 ways. Basically, the first kid has 6 seats to choose from, then the second kid has 5 to choose from (since the first kid is sitting in one), etc. So 6*5*4*3*2*1=6!= 720.
What are the no of ways of seating 7 candidates?
3c3 is the answer. 105.
How many ways can 8 persons be seated at a round table?
So the answer is that there are 5,040 possible permutations of 8 people around a circular table.
How many ways can we place 7 apples in a circle?
The number of ways that 7 people can form a circle is 5,040.
How many ways can 6 people be seated in 6 chairs?
Answer and Explanation: There are 720 ways to seat 6 people in a row. Each seating of 6 people is simply a different ordering of the 6 people in the group.
How many ways can 7 beads can be arranged to form a necklace?
It would be 7! = 5040 diffrent necklaces.
How many ways can 6 persons be seated around a circular table?
So, 6 people can sit round a circular table in 120 ways.
How many ways can 6 boys and 6 girls be seated at a round table if the girls and the boys are to occupy alternate seats?
The final answer will be: Number of ways to seat all 6 boys and 6 girls – Number of ways to seat all when 4 particular girls must not sit together. Number of ways to seat all 6 boys and 6 girls = (6 + 6 – 1)! = 11!
How many ways can 4 boys and girls be seated at a round table if the girls and boys are occupy alternate seats?
Thus, there are 4! 3! =144 ways of sitting the girls in which the boys and girls alternate seats.
What is circular permutation?
Circular permutation is the total number of ways in which n distinct objects can be arranged around a fix circle.
How many ways can 6 persons be seated in a row?
Hence, total number of ways in which six persons can be seated in a row = 6×5×4×3×2×1=720.
How many ways 8 persons can seat around a circular table facing the Centre such that 3 particular persons are always together?
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 can 3 people be seated?
So there are two answers: There are 3! = 6 different ways of placing these three people in three distinct chairs. However, it we decide to consider rotated arrangements as basically the same, then there are only 2 ways.
How many ways can 4 people sit in a car?
There are a total of 12 ways that 4 people can sit in a 4-seated car if only 2 of them can drive. Let’s say the people are A,B,C, and D, and A and B are the drivers. So, put A behind the wheel – the other 3 people can be seated in 6 different ways. Same if B is the driver.
How many ways can 6 boys and 6 girls be seated at a round table of 4 particular girls must sit together?
The next of the four has 7 places to sit, the next has 6, and the last has 5. So that’s 7!* 8*7*6*5=5040*1680=8,467,200 total possible arrangements.
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 8 people be seated in a row of 8 seats if two people insist on sitting next to each other?
there are no restrictions on the seating arrangement(answer is 8! = 40,320) , b.) persons A and B must sit next to each other? (Answer: 10,080) , c.)
How many ways can ten students be seated in a round table?
So the ten students can be arranged 9! or 362,880 ways.
How many ways can you arrange people in a circle?
Circular Permutations: The number of permutations of n elements in a circle is (n − 1)! In how many different ways can five people be seated at a circular table? So the answer is 24.
How many people can be seated at a round?
| 72 inch Round (6′) | Seats 10 – 12 Adults |
| 60 inch Round (5′) | Seats 8 – 10 Adults |
| 48 inch Round (4′) | Seats 6 – 8 Adults |
How many ways 5 different beads can be arranged to form a necklace?
So, we have to divide 24 by 2. Therefore the total number of different ways of arranging 5 beads is 242=12 .
What is restricted permutation?
A Restricted permutation is a special type of permutation in which certain types of objects or data are always included or excluded and if they can come together or always stay apart. (a)Number of permutations of ‘n’ things, taken ‘r’ at a time, when a particular thing is to be always included in each arrangement.
How many ways can three boys and three girls be arranged in a circle if the girls must remain next to each other?
120 ways. Two girls can interchange among themselves in 2 ways. There are two groups. The first group is the three girls, M, N, and O.
How many ways can we arrange 7 beads in a bracelet?
| C. 720 | D. 60 |
How many different ways can three people sit at a table with five seats?
The answer is 60.
How many ways can 3 couples sit at a round table?
3 items can be circularly arranged in (3–1)! = 2 different ways. Hence 3 couples can be arranged in a circular table such that each couple sits together= 8*2= 16 ways.