The smallest possible value of n is 20 that is minium 20 people's can seated according to given condition on a circlar table which has 60 chairs for sitting .
We have given that
total avaliabile chair on circular table = 60
let number of seating persons be N .
"If every third seat is occupied, filling 20 seats, then every unoccupied seat has a person seating next to it, so N could be 20. To see that N must be at least 20, note that any seating which satisfies the conditions cannot contain a gap of more than 2 unoccupied seats between any occupied seats. If we regard adjacent occupied seats as having a gap of 0 between them, every seating of N people contains N gaps, all of which must be less than 2. Thus N+2N = 3N is at least as big as the sum of N and all the which is 60, therefore 3N ≥ 60 and N ≥ 20.
Hence, smallest possible value of N is 20.
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