How many ways can 5 people A B C D and E can be seated around a circular table if A and B must sit together?
24
In how many different ways can five people be seated at a circular table? So the answer is 24.
How many ways can 4 people be seated?
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 4 people be arranged at table?
Overall, the four seats can be filled in (10 x 9 x 8 x 7) = 5,040 ways. Notice that a group of 4 people can be seated in (4 x 3 x 2 ) = 24 different arrangements.
How many people can sit around a circular table?
Hence the number of arrangements (or ways) in which four different persons can sit around a circular table = (4 – 1)! = 3! = 6. Ques. In how many ways can 5 boys and 5 girls be seated at a round table so that no two girls may be together?
How do you find the number of circular permutations of 3 persons?
So for n elements, circular permutation = n! / n = (n-1)! Now if we solve the above problem, we get total number of circular permutation of 3 persons taken all at a time = (3-1)! = 2. So, in the above picture 3 linear arrangements makes 1 circular arrangement.
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 find the number of arrangements around a circle?
When distinction is made between the clockwise and the anti-clockwise arrangements of n different objects around a circle, then the number of arrangements = (n – 1)!. But if no distinction is made between the clockwise and anti-clockwise arrangements of n different objects around a circle, then the number of arrangements is (n – 1)!.