In how many ways, can 24 persons be seated around a circular table if there are is 13 seats?
Correct Answer: 24! / [13 x 11! ]
Explanation:
First , we select 13 persons out of 24 persons in 24 C13 ways.
Now, these 13 persons can be seated in 12! ways around a table . So required number of ways = 24 C13 x 12!
= [24! / {13!(24 - 13)!}] x 12!
= [24! / {13! x 11!}] x 12!
= 24! / (13 x 11!)