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20 persons we invited to a party. In how many ways can they be seated in a round table such that two particular persons sit on either side of the host?

20 persons we invited to a party. In how many ways can they be seated in a round table such that two particular persons sit on either side of the host?

Grade:11

1 Answers

Amogh Dasture
48 Points
7 years ago
Pack the host and the 2 particular persons in a bundle. This leaves us 18 items to arrange around the table. In the bundle the persons can arranged in 2 ways. Hence total no. of ways equals
 
(18-1)! x 2!
 
Solve and get the answer
 
PS: the value is big. maybe u skipped how many seats are there around the table in the question

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