In how many ways can eight directors, the vice chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the the vice chairman and a director?
- 9! × 2
- 2 × 7!
- 2 × 8!
- 2 × 6!
If you consider the Chairman and the vice chairman as one set, this set can fit 8 slots in between the 8 directors. Hence, this can be done in 8! ways.
Between themselves, the chairman and the vice chairman can be arranged in 2 ways.
So, total number of ways are 2 × 8!
The correct option is C.