In how many ways, can 15 people be seated around two round

Home » Aptitude » Permutation and Combination » Question

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

1. 15!/(8!)
2. 7!/88!
3. ¹⁵C₈ x 6! x 7!
4. ¹⁵C₈ x 8!
5. None of the above

Correct Option: C

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!