There are n seats round a table numbered 1,2,3, ,n. The number of ways in which m ,( n) persons can take seats is

JEE Advanced Mathematics question

There are seats round a table numbered . The number of ways in which persons can take seats is

(A)Correct
(B)
(C)
(D)Correct

Answer: (A),(D)

Solution

Because the seats are numbered, rotations give different seatings, so this is not a circular-permutation problem: the first person has choices of seat, the second , …, the -th . Total .

- (a) ${}^

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Question ID VK-108242