Question

6 teachers and 6 students have to sit around a circular table such that there is a teacher
between any two students. Find the number of ways in which they can sit.​

Answer 1

Answer:

Fix up one student and remaining 5 students can be seated in 5! ways. Now 6 teachers are to be arranged between these 6 students and number of arrangements will be 6! ways.

Hence by fundamental theorem the total number of ways is 5!6!