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In how many ways, can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

15!/(8!)
7!/88!
15C8 x 6! x 7!
15C8 x 8!

Correct Answer: 15C8 x 6! x 7!

Explanation:

Number of ways in which 8 persons can be selected from 15 persons = ¹⁵C₈
Now, 8 persons can be seated around a circular table in 7! ways.
Now, remaining 7 persons can be seated around a circular table in 6! ways.
∴ Required number of ways = ¹⁵C₈ x 7! x 6!

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