During the essay writing stage of MBA admission process in a reputed B-School, each group consists of 10 students. In one such group, two students are batch mates from the same IIT department. Assuming that the students are sitting in a row, the number of ways in which the students can sit so that the two batch mates are not sitting next to each other, is

- 3540340
- 2874590
- 2903040
- None of the above

**Solution**

Number of ways in which 10 students can sit = 10!

Considering batch mates as single unit, number of ways in which batch mates sit together = 9! × 2

The number of ways in which the student can sit so that the two batch mates are not sitting next to each other = 10! - (9! × 2)

= 9! × 8 = 2903040

**The correct option is C.**